Other than the definition:
Oh My Edward
(a now common alternative for OMC- oh my Carlisle)
which refers to the Twilight Books and Movies
OME can also stand for Oh My Earth
used by people who can be seriously against blaspheming or just by people who don't want to say god. bit like Oh My Goodness.
1. Oh My Edward
Girl 1: Did you see New Moon yet?
Girl 2: OME of course, Edward is sooo hot in it.
2. Oh My Earth
Guy: they want to cut all the trees down
Girl : OME! They can't!