The only websites I really care about on that list are Wikipedia (For when I'm bored), Youtube (Entertainment),  Vizzed (Second Life), and Google (take a wild guess why). I could do without the other sites, they just seem unnecessary.

- Amazon
Might care a little bit, because that's where I get my video game prices.
- Bing
Insignificant.
- Craigslist
This would suck a lot, this is where I find car parts and used electronics for dirt cheap.
- eBay
This would also suck a lot, because eBay has been a good source of supplemental income to me.
- Facebook
Might suck a bit, only because I'd have to find a new way to communicate with some of my friends.
- Google (and everything related such as GMail and Google Maps)
Losing Google Maps would definitely suck, but pretty much all of Google's other services I've replaced with an alternative
- LinkedIn
Excuse me? What's that?
- Twitter
Might actually be beneficial, because then I wouldn't have to see hashtags anymore.
- Vizzed
This would suck. I need my gaming fix, man.
- Wikipedia
This would suck the most out of all this list. Knowledge is power. Without knowledge, mankind is powerless. Wikipedia has been one of the greatest sources of knowledge in the history of mankind.
- Windows Live
Didn't this already shut down a couple of years ago? I wouldn't notice.
- Yahoo!
Might suck a little, only because I love wasting time on Yahoo Answers, and laughing at obnoxious right-wing nutjobs in the Yahoo News comments.
- YouTube
Good riddance. There are much better video sites out there that don't get the attention the deserve thanks to Google's dystopian clusterfudge of a video site.

Amazon: Well, I don't really use it that often. But still a bummer.

Bing: Wait... people used that?

Craigslist: Never been on the site. But I will miss the "weird craigslist ads" pages.

eBay: I use this to make money. Not much, but it's still money!

Facebook: Freedom! Sweet freedom at last! Nah, I stopped using Facebook. I just occasionally go on to spy on people I used to know.

Google: How do you internet without Google? Good thing I have Yahoo! Right? Right?!

LinkedIn: Never been on this site.

Twitter: I use it, but it's not that important to me.

Vizzed: What? What?! NO! NOOOOOOOOOOOOOOOOOO!!!!! My games! My forums! All gone! What have you done? You monsters!

Wikipedia: I no longer have access to information! How will I know things?

Windows Live: I honestly don't know what this is.

Yahoo!: That's it. With this AND Google gone, I can't internet any more.

YouTube: This would probably be the biggest blow. YouTube is my life.