A combination of the two words "Gay" and "Anime", it could mean one of two things.

1) Hentai that includes at least a 75% majority of the same gender as you.

2) For people who just highly approve of Anime in general, they will tend to call it Gaynime.
1) Bob: "Hey, go to this site."

Jack: "Uh, okay.. OH MY GOD, THIS IS GAYNIME! You sicko!"

2) Sam: "Two more days till Didji' comes out!"

Jill: "FF is way better than didji!"

Mark: "Stop fighting over your Gaynime!"
by Batman oCourse March 17, 2010
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