I had difficulty thinking of one and I think it's because I don't quite mesh with the premise. I think every game I like, I would make the case for why it's good, rather than it being bad-but-I-like-it-anyway.
Like sometimes people talk about games like, say, Psychonauts, in terms like 'well, the platforming sucks, but the world and the writing and characters are cool' and I'll defend that game's platforming forever. I played it recently and I still think the general jumping, traversal stuff in that game holds up.
I guess the closest to the topic is maybe the 7th Guest. I still find myself wanting to defend it. I think the weird/bad acting and low budget FMV actually enhances the spookiness of the ghost characters, it gives the whole thing this weird veneer. But I can't deny, when I played it recently the puzzles were often awful and the interface really got in the way and I wish Stauf would just be quiet and stop stealing my cursor whenever he wants to interject something.
But still, I have a soft spot for that game.