Here is a list of PS3 / PSN games that I own. There are in alphabetical order.
PS3 Games:




Aliens vs. Predator
Ar tonelico Qoga: Knell of Ar Ciel
Army of Two
Army of Two: The 40th Day
Assassin's Creed
Assassin's Creed
Assassin's Creed: Revelations
Atelier Meruru: The Apprentice of Arland
Atelier Totori: The Adventurer of Arland
Batman: Arkham Asylum
Batman: Arkham City
Battlefield 3 Premium Edition
Battlefield: Bad Company
Battlefield: Bad Company 2 Ultimate Edition
BioShock 2
Borderlands
Bulletstorm
Call of Duty 4: Modern Warfare
Call of Duty: Black Ops
Call of Duty: Modern Warfare 2
Call of Duty: World at War
Call of Juarez: The Cartel
Crysis 2
Dark Souls
The Darkness II
Dead Nation
Dead Rising 2
Dead Space
Dead Space 2 Limited Edition
Demon's Souls
Deus Ex: Human Revolution
Disgaea 3: Absence of Justice
Disgaea 4: A Promise Unforgotten
Dishonored
Dragon Age II
Dragon Age: Origins Ultimate Edition
Dynasty Warriors: Gundam 3
Eternal Sonata
FIFA Soccer 11
Fallout 3
Fallout: New Vegas - Ultimate Edition
Far Cry 2
Final Fantasy XIII
God of War III
Gran Turismo 5 XL Edition
Grand Theft Auto IV
Heavy Rain
Hyperdimension Neptunia
Hyperdimension Neptunia mk2
inFamous
inFamous 2
Jak and Daxter Collection
Just Cause 2
Killzone 2
Killzone 3
L.A. Noire Complete Edition
LittleBigPlanet: Game of the Year Edition
Lost Planet 2
Mafia II
Mass Effect 2
Max Payne 3
Medal of Honor: Airborne
Medal of Honor: Warfighter Military Edition
Metal Gear Solid 4: Guns of the Patriots
Mirror's Edge
Mortal Kombat Komplete Edition
Need for Speed Carbon
Need for Speed: Hot Pursuit
No More Heroes: Heroes Paradise
Operation Flashpoint: Dragon Rising
Operation Flashpoint: Red River
Prince of Persia
Ratchet & Clank Collection
Ratchet & Clank Future: A Crack in Time
Ratchet & Clank Future: Tools of Destruction
Record of Agarest War 2
Record of Agarest War Zero
Red Dead Redemption Game of The Year Edition
Resident Evil 5
Resistance 2
Resistance: Fall of Man
The Saboteur
Skate 2
Sleeping Dogs
The Sly Collection
Sniper Elite V2
Sniper: Ghost Warrior
Sonic's Ultimate Genesis Collection
Star Ocean: The Last Hope Internationa
Star Wars: The Force Unleashed
Tom Clancy's EndWar
Tom Clancy's Ghost Recon Advanced Warfighter 2
Tom Clancy's Ghost Recon: Future Soldier
Tom Clancy's Rainbow Six Vegas 2
Tom Clancy's Splinter Cell Classic Trilogy HD
The Tomb Raider Trilogy
Turok
Two Worlds II Game of The Year Edition
Ultimate Marvel vs. Capcom 3
Uncharted 2: Among Thieves
Uncharted 3: Drake's Deception Game of The Year Edition
Uncharted: Drake's Fortune
Unreal Tournament III
Valkyria Chronicles
Warhammer 40,000: Space Marine
Warhawk
White Knight Chronicles II
Yakuza 3
PSN Games:
Battlefield 1943
Crazy Taxi
Dead Nation
Dead Space: Extraction
Jet Set Radio
flow
flower
Journey
NiGHTS Into Dreams
Super Stardust HD
Sonic Adventure 2 Battle
Tokyo Jungle

I don't have nearly that many! I wish I did though.

Let's see...

Army of Two
Assassin's Creed II
Assassin's Creed: Brotherhood
Bioshock
Bioshock II
Final Fantasy XIII
Little Big Planet
Mass Effect 3
Overlord 
Overlord II
Sacred II

..and that's it. I'm poor.

I bought like eighty percent of all those games the rest my brothers purchased. We love to play multiplayer, and also the PSN profile is shared. You might say: "but then wont you ruin you stats on COD if more than one person plays?!?" Well in that sense my twin bro plays COD online I usually splitscreen on Black Ops. I am the one who mainly plays Battlefield games. But since it is shared the PSN Trophy lv is higher if anything.

Also I used to spend 90% of my money towards gaming, used & now more recently new.

Wow, somebody has a lot of PS3 games. It looks like you have nearly the entire existing library for crying out loud.

I only have..

WWE 12
WWE 13
Madden NFL 12
Madden NFL 13 (Bonus Edition)
Saints Row The Third
NCAA Football 13
Sonic's Ultimate Genesis Collection
WWE All Stars
NFL Street

All of them are sports titles, but I'm not a big buyer of games anymore.

I honestly care less about collecting Video Game stuff, as opposed to things related to Anime, Music, etc, but my PS3 Collection goes:

Disc
Asura's Wrath
Devil May Cry 4
Sonic Unleashed

I had a ton more, but they all got sold ;-;

PSN
Sonic 1
Sonic 2
Sonic CD
Sonic 4 Ep 1
Sonic 4 Ep 2
Sonic Adventure DX
Sonic Adventure 2 (No Battle DLC, don't want it)
InFamous
Little Big Planet
Impossible Game
Marvel VS Capcom 2
MegaMan 3
Castlevania: Symphony of the Night
Street Fighter Alpha 2

I probably forgot some. All the Sonic games were bought with my money, Infamous and LBP were free from Playstation, MM3 was also bought with my money, and I got the rest from a friend, Nya~. :V

I only get PSN games.
Sonic Generations
Sonic Adventure
Sonic Adventure 2
Sonic 4 Episode 2
Sonic CD
Wrath of the Dead Rabbit
Megaman 9
Megaman 10

Ah heres my list 

Aliens Vs Predator
Goldenaxe Beast Warrior
Dragon Age Origins Ultimate Edition
Dragon Age 2
Final Fantasy XIII
Final Fantasy XIII Part 2
Fear 2
Resident Evil 6
Resident Evil 5 Gold Edition
Simpson's Arcade
Hoard
Sonic The Hedgehog 4 Episode 1
Sonic The Hedgehog 4 Episode 2
Sonic Adventure + DX Expansion Pack
Infamous
Dungeon Hunter Alliance
Dead Nation
Fallout New Vegas
Lego Harry Potter Years 5 - 7
Sonics Ultimate Genesis Collection
Call Of Duty 4 Modern Warfare
Devil May Cry 4 Collectors Edition
Tetris
Angry Birds
Zecornia
Dust 514
White Knight Chronicles 1 & 2
God Of War Collection
and a whole bunch of others I can't remember atm

Disks I still own:

Ashes cricket (played once... for 4 minutes)
Assassins creed
Assassins creed 1(Via free copy on a.c revelations)
Assassins creed Revelations
Assassins creed brotherhood
Batman Arkham city
Bioshock
Bioshock 2
Call of Juarez:Bound in blood
Call of duty: modern warfare 2
Call of duty: world at war
Civillization Revolutions
Crysis 2
Dead Island
Dead rising 2
Destroy all humans: path of the furon
Dynasty warriors 6 empires
Far cry 2
Far cry 3
Gran Turismo 5
Guitar Hero 5
Haze
Hitman Absolution
Hitman HD pack (Hitman 2, Hitman Contracts, Hitman Boodmoney)
L.A Noire
Little Big Planet
Mass effect 2
Mass effect 3
Metal Gear Solid 4: Guns of the patriots
Red Dead Redemption
Resident Evil 5
Resistance 3
Resistance:fall of man
Rockband 2
Saints row 2
Saints row the third
Shaun White Snowboarding
Skyrim
Sleeping dogs
Star wars: the force unleashed
The godfather 2
The orange box
Tom clancys rainbow 6 vegas 2
007:Quantom of Solace

Downloads:
3 on 3 NHL Arcade
Age of booty
Batman: Arkham city
Battlefield 1943
Bomberman ultra
Burnout paradise
Calling all cars
Cellfactor: psychokinetic wars
Comet Crash
Crash Commando
Dead nation
Fat princess
GTI Club+ Rally cote d'azur
Geon
High velocity bowling
Hustle Kings
Hydrophobia prophecy
Infamous
Infamous:festival of blood
Linger in shadows
Little Big Planet 2
Magic Orbz
Motor storm apocalypse
Novastrike
Operation creature feature
Rag doll kung fu: Fists of plastic
Savage moon
Smash cars
Socom US navy seals confrontation
Soldner x:Himmelssturmer
Sonic the hedgehog
Sonic the hedgehog 2
Streets of rage 2
Supersonic acrobatic rocket powered battle cars
Superstardust HD
Tom clancys endwar
Tori-emaki
Toy home
Warhawk
Watchmen
Wipeout HD
aqua Vita
chime
cuboid
punisher: no mercy
the trials of topoq
worms

Undoubtably many more that i cant think of, i figured out most of the PSN ones by looking at trophys

You make me feel inadequate, sir...

3D Dot Game Heroes
Assassin's Creed
Assassin's Creed II
Batman: Arkham Asylum (GOTY Edition)
Batman: Arkham City (GOTY Edition)
Bionic Commando (except I let someone borrow it and they never returned it)
BioShock
Duke Nukem Forever
God of War Saga
Metal Gear Solid 4: Guns of the Patriots
Rayman Origins
Red Faction: Guerrilla
Red Faction: Armageddon
Shadows of the Damned
Sonic Unleashed
Star Wars: The Force Unleashed II
Watchmen: The End is Nigh (Parts 1 & 2)

Not a bad collection, if I do say so myself. I also have the first God of War collection (with the first two games on it) and the third game by itself, but those are on the way out since I have the Saga collection with all three of those and both PSP games on it. I took the liberty of highlighting the games I've actually beaten. It doesn't really seem like that many, looking at it now...