Afi doesn't appear to be an English word. Perhaps you could rewrite your question and in the question, state whether you're referring to an abbreviation, or a word in a non-English language, etc.
For example, if the word is Greek, you would write:
What rhymes with the Greek word afi?
Or if it is an abbreviation, you would write:
What rhymes with the abbreviation AFI?
AFI is not a Christian band.
Amma
Afi 21-101
Afi 11-218
Davey Havok is the lead singer of AFI.
Afi 36-2201
Afi 34-239
AFI Conservatory was created in 1969.
AFI - band - was created in 1991.
Afi 32-7001
Afi 34-1201
AFi 33-106