What is the correct pronunciation of Аниме

A-NAH-MAY. That's how I pronounce it.

And my favourite anime(s) are Black Butler (Тёмный дворецкий) and Clannad. ~

Ah-ne-me is how u pronounce it in Япония their A's are ahs XD

Ah- not like the 'a' in apples, but like when Ты yell 'AH'!
Ni- like the word 'ni'
Me- 'Me' as in 'Method'.