My list is rather odd. In fact, VERY odd.. because for all but two I don't have a good, rational, reason for hating them - other than, of course, they aren't the Rams.
The Falcons. I have no idea why I dislike this team. colors? Emblem? I don't know.
The NY Giants - again, no reason comes to mind. I just don't like them.
The Panthers - I just want to slug them in the face every time I see them.. I don't know why.
The only two teams I detest for good reason are the Vikes and Niners. No need to go into it.