I just thought of two today.
Fuss(US)=bother/trouble, as in, "Oh, you shouldn't have made a fuss, I just wanted to have a quick chat!"
Fuss(UK)=to like something, or think something is good; as in my in-laws saying, "We weren't really fussy on those apples we just had"
Off(US)=to remove, or stop, as in, "Get that bug off of me! It might bite me." or, "Turn the stove off before you leave, we don't want to burn the house down."
Off(UK)=to get something from someone else, as in my husband just saying to me, "Can you take that paper off that man, please?" when we pulled into the driveway today, from a man delivering the neighbourhood paper. Or, "I haven't had an email off Dave today, wonder what's going on?"
I've had to work both out in my head, so that I don't sound like a dunce. Used to do my head in, when I lived in the States when DH and I were still having our LDR, and he'd say, "I know I've had an email off you, but, I'll have to reply to it tomorrow or something, because I've had to take some work home tonight." So confusing!