The ones that bother me are "I could care less" for "I couldn't care less"
Instinctively this feels really wrong but I think it comes from Americans using 'like' a lot in phrases, so I think of it as them saying 'like I could care less'. I could be wrong, but it's the only way it makes sense to me.
The ones that bother me are "I could care less" for "I couldn't care less" and "me either" for "nor me" or maybe "me neither"