2D games on ps2 a little, and for two less. microwave like no:)
on the PS2 generally games for two little.
you better emulator on PS shopstyle, there are collections of nes/Sega games, and there all mostly 2D. and the fact that the graphics is not beautiful, so let the child imbued with the spirit of the old school games is only a plus IMHO:)
and so, I can recommend you Lego Star Wars. although she is not 2D, but the kids loved it and for two