In the States, without the accent, Remy is pronounced "REHM-ee". ("eh" as in feather")

For one thing, I've always heard it pronounced re-mee (not "ray") – but what do French people know about French pronunciation, right? (Maybe every name should be listed here twice, once for the country of it's origin and once for it's American usage...)

My daughter Rémy was named such in honor of a French couple with this surname. They pronouce their name "rae-mee."