"af-ro-DYE-tee" would generally be regarded as the correct English pronunciation, though the pronunciation "AF-ro-dyte" is certainly used, as is the case with my aunt who is so named. (She is always called "Aphie," however.)
My 6th grade teacher was reading to us and pronounced Aphrodite as Afro-dite. I told her that it is pronounced afro-dye-tee. She tells me that there are two ways of pronouncing it. But I have never heard it pronounced any other way. I wish someone who is Greek or from Greece can verify this information. I've listened to Greek Mythology before and each one that contains this goddess is pronounced afro-dye-tee. Am I wrong?