I know it's not quite a part of the face, but I dislike the area between my chin and my neck. If I tilt my head down, it starts to do this weird double-chin thing. It's even there very slightly with my head held normally.
Apart from that, I love my face! I think I'm really cute!
My face is perfect to me, I just don't like my teeth. I have really bad teeth, they're super thin and break really easily. I'm going to eventually have them all pulled and replaced, one at a time. I also happened to have a terrible dentist at one point who screwed my teeth up REALLY badly and it's permanent, so that is the only part on/around/near my face I don't like. But there wasn't an option for that
I've got these little pockets of fat between my lower lip and chin that I absolutely hate! It's one of those features that isn't all that noticeable most of the time, but in pictures it seems to yell out "LOOK AT ME!"