So many terms and such could あなた explain the ones I don't know?

Wiki または Google don't bite you...
Yoai - link
Yuri - link
Shonen - link
Shonen-Ai - link
Shojo - link
Shojo-Ai - link
Hentai - link
Moe - link
Ecchi - link

*yaoi, aheh well i don't know much もっと見る but my friend told me there are もっと見る categories like different kinds of やおい but i don't remember the names sorry.

Yoai gay anime
Yuri lez anime
Shonen shonen jump anime
Shonen-Ai unknown
Shojo shojo anime
Shojo-Ai unknown
Hentai アニメ porn
Moe unknown
and recently Ecchi perverted アニメ not porn

やおい - Gay anime
Yuri - Lesbian anime
Shohen - Boy, または マンガ for boys
Shohen Ai - Boy's 愛 (different from yaoi)
Shojo - Girl, または マンガ for girls
Shojo Ai - Girl's 愛 (different from yuri)
Hentai - Porno anime
Moe - A slang term for a strong interest to a certain type of character
Ecchi - Animes that are like soft-core porn, または jailbait.

Some of these may be wrong, but I tried my best.

Yaoi-gay anime
Yuri-lez anime
Shonen-anime for boys
Shonen-ai: milder version of yaoi
Shojo-ai: milder version of yuri
Hentai- Pervert
Ecchi- Milder version of hentai (i think)
Moe- unknown