I have a few games that I play that I enjoy for some reason even unknown to me. They're games that aren't spectacularly good, but for some reason they've got a sort of charm that makes me not want to put the game down.
One game comes to mind on the Wii specifically. EA Playground.
A very early (2007) Wii release that is a minigame collection? One that was done by EA and occasionally has stiff controls? Sure, but that doesn't mean I can't stop playing it. I have no clue why. It's just plain fun.
Another more obvious choice is Deadly Premonition. God, I love this game so much. It's hilarious, but in a MST3K way. If only the PC version weren't a terrible port. Anyone else have games like these?