I don't have a least favorite console. Seriously, I love all of them. My Gameboy Pocket, my Gameboy Advance, my Gamecube, my 360 and even my future PS3 (4 more days....4 more days!!) are all dear to me.
But to not break the topic, I'll just pick my favorite crappy game, which would be Medal of Honor: Rising Sun. The AI was awfull, the graphics horrible and the level design boringm but I must say that I had some good times with that game. What can I say, I was 13 or something, a simple young lad with simple wishes and a not-so-critical eye.