As far as I know Resident Evil 0 was only released on the GameCube. It's an okay game, one of the biggest annoyances is that you essentially control two characters at once. You can switch back and forth between them, and there are puzzles that involve someone getting stuck until the other can free him/her. So it gets a little tedious at times...
I haven't tried Umbrella Chronicles because I'm waiting until it's cheaper...
I absolutely despised the Outbreak games, tho. Largely because you had to protect 3 other people besides yourself, all of whom seem to be controlled by your mom. They steer themselves into danger and really aren't much help in fighting zombies. I found the games to be frustratingly difficult...
Left 4 Dead got this a little better, but it's got a lot of illogic to the zombies. There will be times when you're high up on a three story building and all of sudden here come some zombies swarming up the building onto the roof. Are they all bless'ed Spider-man or something?!