THe PS2 had one of the best library a game console could have. With over 1600 games the Playstation 2 had a large varies of games online FPS to action-adventure to minigames for everyone. It had backward compatibility and online game and there are still games being made for it.
The Wii has also has a great library and over 1000 games playable on the Wii, including VC, Wiiware and Gamecube. The Wii has online play and can play old games on the NES,SNES, N64 and GC. It had a slow start on support in the beginning but it looks like it is improving.