Tough one to call so I made a list of my top favorite anime shows (the list isn't listed in any favored order)

1. Dragon Ball Z
2. Yu Yu Hakusho
3. Ranma 1/2
4. Deathnote
5. Inuyasha
6. One Piece
7. Pokemon (1st season only)
8. Trinity Blood
9. Cowboy Bebop
10. Trigun

So many more... to list it would take hours =P

I love Naruto, although I haven't watched the anime in ages, however, it was my first ever anime and it stuck with me since I was small, so it's kind of a sentimental thing.
Of course I also enjoyed many other series such as Death Note, Chobits, Pokémon (although I only watch the first season), etc.

Well I can say I'm not a anime but the one anime I like to really watch is Inuyasha cause that's the only one I'm familiar with

My favorite Anime shows are Pokemon, Dragon Ball, Bleach, One Piece, and Fairy Tail.

Well, I'm going to have to go with,
1. Elfin Lied- Because It has so much originality for a Anime show, It's depth in details and very Gory graphics that fit in a non scary way..
2. Naruto- Because of the courage of the main character, "naruto expresses emotions that some people can understand in their own life.. He got cast down and showed everyone at the end that he can be better then the ones that cast him down, He strives to protect his village and his family", but at the same time emotions run hard in this series, so it's easy to attract someone to it..
3. Death Note- It show's that with power that is not used right it can cause someone to become Greedy, Even though if it's to kill the all the "bad guys" It's a depth 2 sided point of view of L "Detective" and "Light" the main character who gains the power to kill people by writing in a notebook."

Personally those are my favorite Manga/Anime That I like to watch or read.

Mine would have to be Naruto or Hatekyo Hitman Reborn.

Right off the Bat I have to say FullMetal Alchemist. Heres My top ten list though.
10hakugan No Shana
Plot: He had thought his normal days would last forever, until they were ended abruptly by an encounter with a girl with red hair and eyes. He named her Shana.
Not long after he enters high school, Sakai Yuji's normal days come to an end. He sees something bizarre on his way home: people are frozen in a strange fire, and a monster that looks like a large doll is attacking them. Just when he's about to be killed, a girl in a dark cloak wielding a large sword appears, and slices the monster in half. Although Yuji survives the strange encounter, the girl informs him of a desolate truth: " 'You' don't exist anymore." Now this was one of the First animes i had ever seen, and dear god it was amazing!

9:Naruto And Naruto Shippuden
Plot: Before Naruto was born, a great demon fox had attacked the Hidden Leaf Village. A man known as the 4th Hokage sealed the demon inside the newly born Naruto, causing him to unknowingly grow up detested by his fellow villagers. Despite his lack of talent in many areas of ninjutsu, Naruto strives for only one goal: to gain the title of Hokage, the strongest ninja in his village. Desiring the respect he never received, Naruto works towards his dream with fellow friends Sasuke and Sakura and mentor Kakashi as they go through many trials and battles that come with. Now Naruto Was one of the most addicting anime series i had ever watched for about 100 episodes. Im still beggining naruto shippuden though. Naruto: Shippuuden is the continuation of the original animated TV series Naruto.The story revolves around an older and slightly more matured Uzumaki Naruto and his quest to save his friend Uchiha Sasuke from the grips of the snake-like Shinobi, Orochimaru. After 2 and a half years Naruto finally returns to his village of Konoha, and sets about putting his ambitions to work, though it will not be easy, as He has amassed a few (more dangerous) enemies, in the likes of the shinobi organization; Akatsuki.

8: Gurren Laggan
Well.... Just see it for your self its awesome!!!!

7:Inuyasha
Plot: Higurashi Kagome, after being pulled down a well by a demon, finds herself in Feudal Japan, where she learns that a powerful jewel has been reborn inside her body. After the jewel shatters in an attempt to retrieve it from one of the many demons who was after its power, Kagome must join forces with the half-demon Inu Yasha (also after the jewel's power) to track down the shards of the jewel before its power falls into the wrong hands.

6:Chobits
Plot: In the future, personal computers have developed into "Persocoms", mobile computers that look like human beings. Hideki Motosuwa, a prep school student, desperately wants to buy a Persocon but cannot afford to. One day he finds a Persocom that has been thrown away and decides to keep it. When he turns on the Persocom, all she can say is "Chi" so he decides to name her that. After a while it starts to become apparent that Chi is more than an average Persocom. Having much better performance, it seems that Chi might be a "Chobit", a type of advanced Persocom rumored to have independent thought.

5amurai Champloo
Mugen's a buck wild warrior – violent, thoughtless and womanizing. Jin is a vagrant ronin – mysterious, traditional, well-mannered and very strong as well. These two fiercely independent warriors can`t be any more different from one another, yet their paths cross when Fuu, a ditzy waitress, saves them from being executed when they are arrested after a violent swordfight. Fuu convinces the two vagrant young men to help her find a mysterious samurai "who smells of sunflowers." And their journey begins. This is a story about love, friendship and courage… NOT!

4: Deathnote
Plot: During just another normal day, Light Yagami stumbles upon a black notebook known as the Death Note. This notebook belongs to a shinigami, Ryuk, having the ability to kill anyone who has their name written in it. As the new owner of the Death Note, Light's true desires surface, yearning to cleanse the world of evil by murdering a large number of criminals. When the world begins to notice the existence of this unknown killer, legendary detective L is brought onto the case; starting a war between "Kira" and L. Whoever is able to find out the other's identity first will be the one to survive.

3: Elfen LIed
Plot: The Diclonius, a mutated homosapien that is said to be selected by God and will eventually become the destruction of mankind, possess two horns on their heads and have a "sixth sense" which gives them telekinetic abilities. Due to this dangerous power, they have been captured and isolated in laboratories by the government. Lucy, a young and psychotic Diclonius, manages to break free of her confines and brutally murders most of the guards in the laboratory where she is being held, only to be shot in the head as she makes her escape. She survives, falling off a cliff into the ocean and manages to drift along to a beach where two teenagers, Kouta and Yuka, discover her. Having lost her memories, she was named after the only thing that she can now say, "Nyuu," and the two allow her to stay at Kouta's home. However, it appears that the psychotic side of Lucy is not dead just yet…

2: Rurouni Kenshin
Plot: Himura Kenshin is a vagabond with a dark past and sunny disposition. Not a ronin but a rurouni, he was never a samurai, but an assassin of utmost skill in the Meiji restoration, who in the turning point of the war simply walked away. His travels lead him to Tokyo in the 11th year of the Meiji era, where he befriends a female Kendo master, a former thief, a brawler and a doctor all with their own secrets. Together they fight off the enemies surfacing from the dark past that Kenshin cannot escape

1:Full Metal Alchemist
Plot: The rules of alchemy state that to gain something, one must lose something of equal value. Alchemy is the process of taking apart and reconstructing an object into a different entity, with the rules of alchemy to govern this procedure. However, there exists an object that can bring any alchemist above these rules, the object known as the Philosopher's Stone. The young Edward Elric is a particularly talented alchemist who through an accident years back lost his younger brother Alphonse and one of his legs. Sacrificing one of his arms as well, he used alchemy to bind his brother's soul to a suit of armor. This lead to the beginning of their journey to restore their bodies, in search for the legendary Philosopher's Stone.

0: Samurai X (All Ova of Samurai X)

One of the major themes of Trust is understanding the repercussions and after-effects murder can have, something that Kenshin has yet to comprehend though others have tried to point it out to him.[8]
[edit]Reception

Rurouni Kenshin: Trust & Betrayal has been universally critically acclaimed by anime critics and fans alike, and is considered as one of the greatest OVA series in the history of anime. Trust & Betrayal's story, animation, art, music and Japanese voice acting have all been heavily praised by various critics and, consequently, the series itself has been widely acknowledged as a masterpiece and one of anime's crowning achievements.[3][4][6][9]
THEM Anime Reviews gave the entire OVA series a perfect score of 5 out of 5 stars, with reviewer Tim Jones stating, "powerful, evocative, saddening, and heavily charged, Rurouni Kenshin: Trust & Betrayal is a series that goes far beyond its comic-book origins, testing the limits of not only its franchise, but the medium of original video animation as a storytelling device" and that it "surpasses the original television series in many ways". He summarised the series as "dramatic, tragic, beautiful" and "a sterling example of Japanese animation at its finest".[3]
Trust & Betrayal has received significant praise from Anime News Network reviewers. Mike Crandol noted it as one of the greatest OVA series of all time, celebrating the new characters designs as well as the fights scenes which were also noted to be "terribly bloody" and beautiful at the same time.[4] In his review, Carl Kimlinger described the series as "stirring, devastating, smart, redemptive and pure perfection" and gave the series an 'A+' rating for the subbed version and an 'A' rating for the dub.[9] Bamboo Dong claimed that watching this series would benefit the viewer with a "stunning overall experience" before finishing off that "Rurouni Kenshin: Tsuioku Hen is a masterpiece, with dramatic visuals and beautiful animation".[6]
Animerica reviewer Rio Yañez praised Trust's "introspective take on violence" as well as its being "chock-full of insane samurai sword fights and free-flying appendages" while avoiding stereotypical freeze frame animation. While considering the violence "over the top", he felt it was well handled, avoiding being excessive or gratuitous, and that the action scenes were "well balanced by the lavish background paintings and designs". He did criticize ADV Film's English dub as "kung fu style dubbing", noting that the voice actors frequently mispronounced the Japanese names and left the voice track mildly confusing despite the English script's serious take of the material.[8]
Although DVD Talk reviewer Don Houston mentioned the OVAs were very violent for teenagers, he found the story and music to be "solid". The director's cut version received positive comments by how the four OVAs were arranged with Houston commenting it "seems more like a movie that stands alone, rather than just the precursor to a long lasting series."[10]
Daryl Surat of Otaku USA said that, despite what Dave Riley said, viewers should not watch the Trust & Betrayal series before watching other media, and that viewers should instead watch the television series before watching Trust & Betrayal. Surat explained that the OVA has "great moments" that a viewer unfamiliar with the television series would not "bat an eye toward."[7]

Well,I like Pokemon and dragon ball z the best

Pokémon!
At least 150 or more to see to be a pokemon master is my destiny!
Catchem catchem gotta catchem all, GOTTA CATCHEM ALL, POKÉMON!

I Would Say The Funimation Dub Of Shin Chan. It's Awesome. It Also Brings Back Memories Of Me Watching It On Fox Kids When I Was Around Four Or Six Years Old.

drago : Do they ever show him doing his famous butt dance when it was aired on Fox KIds?Maybe you don't remember

I'm more of a manga fan, however, I still enjoy my share of anime..So far now it's HighSchool of the Dead It had been said around the net so i decided to check the anime out .

Yeah It Did But He Never Swore Whilst Doing That. He Said: "Shakin Ma Booty!"

Hmmm... great idea for a thread man. This should get some serious amount of replies. 

now for me to answer the question

number 1: Naruto (have not seen all of the original, so I have not gotten to Shippuden yet)
tie for number 2: Yu-Gi-Oh (the original) and Full Metal Alchemist
number 4: Pokémon (original)
number 5: Bleach

My favorite anime shows would be Pokemon, Family Guy, American Dad, Aqua Teen Hunger Force, and Bleach.

Mine are...

1. Code Geass

2. Ouran High School Host Club

3. Naruto Shippuden

4. Digimon 1-2

5.Black★Rock Shooter

My  favorite anime are
1. Ao no exorcist
2, High School Of The Dead
3. Clannad
4. Deadman Wonderland
5. Mirai Nikki
6. Pokemon
7. Yugioh
8. Air
9. Digimon
10. Beelzebub

Picking a favourite is pretty tough, hrm.

I tend to lean more on the "Retro anime" side than most people due to my experiences (I've invested quite a bit of time trying to archive more retro shows and keep them available), so I tend to lean more there. On the other side of things, I'm a total sucker for a blatant "fan service" anime, so...

Hmmm...

I think I'll just take a safe answer and pick Dragon Ball Z for the time being - which is not to say that it's my absolute certain favorite, but it's certainly one of my most important animes; DBZ is basically what got me from "Casually watching anime on the TV" to "actively taking part in shady anime sharing communities". I think it says a lot about my Dragon Ball Z nostalgia that I went and got the complete DBZ Dragon Box sets when FUNimation released them (Rather then settling on the season sets or anything like that.).

Also, that one won't get me flagged for anything shady for liking it.

My favourite anime show is Hellsing and my second favourite is Death Note

My favorite anime show would have to be Death Note. I find its characters and story engaging. A similar anime that I enjoyed is Monster. There are some of the old Toonami shows that I love like DBZ, Cowboy Bebop, Outlaw Star, Rurouni Kenshin, etc.

My favorite anime show is Deadman Wonderland... Can't get anymore crazy than that.