Are there any good games for me out there?

I love playing games, but there aren't many online that I can play.

For some reason, I'm drawn to games that have ragdoll physics [Grandtheftauto, skate it] and games that are similar to minecraft and terraria. I just want to play a fun online and free game.

Toribash is fun.
You could try all sorts of games from stickpage.com or miniclips.com
Also, if you download Steam, it has tons of free to play games.
I highly recommend Steam! Http://store.steampowered.com/

I heard that Edge of Space is "the new Terraria. Might as well give it a try.