I love the name
Edith. I'm a sucker for older, historic names and this one transports me back to Anglo-Saxon England. The nn
Edie is too cute.
I've always like
Edita, which I think is Italian.
Edit, if I'm saying it correctly ("AY-dit" or "AY-deet") is also lovely. But the spelling would be too much of an obstacle, at least here in the U.S.