Romance (friend zone is ok)
Supernatural powers (not necessary)
Cool main character (badass)
a bit of humour
a bit of suspense
Most Helpful Girl
Hamatora the animation
Probably Kill la Kill though I dunno if it's geared towards a male audience or whatever. A lot of my guy friends like it but I personally don't care for it much.
Code Breaker - though it's kinda meh
Maybe Assassination Classroom - they don't have powers but it's about a class that has one year to kill this OP alien or the alien will decimate the earth. It's pretty cute.
If you liked Ghost in the Shell maybe check out Ergo Proxy, God Eater, Psycho Pass, Appleseed XIII, Cowboy Bebop, Eureka Seven
Most Helpful Guy
Dragonball Z has all of those things. I assume you already know about that though.