Need some really good Anime.

Great Teacher Onizuka - all time favorit
Hunter x Hunter - dunno about being unique but still a Good Anime
Kaiji - atleast i dont know any other Animes that be in this Genre

Berserk
Steins;Gate
Ajin
Psycho Pass

And my favourite one, NHK ni Youkoso

Hunter x hunter , nanatsu taizai , owari no seraph , tokyo ghoul , world trigger , god eater , kuroko no basket , Btoom , fairy tail , no game no life

I'd watch Fate/Zero

Fullmetal Alchemist Brotherhood. The only kinda long anime that doesn't fall flat towards the end.

Tokyo ESP maybe?

Boku dake ga Inai Machi <- this one is serious and the main character has a "super power" which is uncommon :) i watched it up to the newest episode and enjoyed it very much! (still airing/ongoing)

Kono Subarashii Sekai ni Shukufuku wo! <- this one is similar to swordart online but boy, it is so much funnier! you will laugh your ass off while watching xDD

mirrai nikki,btoom!,Bleach,hunterxhunter,death note,owari no seraph,accel world..... and many many others

Fullmetal Alchemist: Brotherhood
Hunter x Hunter (2011)
Gintama
Hajime no Ippo (not superpowers)
JoJo's Bizarre Adventure (2012)
Code Geass
Steins;Gate (not superpowers)
Parasyte

Great Teacher Onizuka, Monster, Planetes and Jungle wa are pretty good.

Some are better than the other but u asked for a bit of uniqueness ;p

Parasyte
Gantz [The manga is like 10 times way better and more storyline]
Claymore
Hellsing
Tokyo Majin Gakuen Kenpucho: Tou Dai Ni Maku
Garo

Forgot about Kiseijuu. There are superpowers involved so it might be what you are looking for.

forgot Tokyo ghoul,Akame ga kill!, Rokka no yuusha,seven deadly sins i really recomend this ones

John Chimpo

Mahoushojo Lyrical Nanoha,Dog day,Gird und Panzer,Yugi oh,Pokemon...it really fun

Midori: Shoujo Tsubaki

Guilty Crown
MadLax
Break Blade
Ghost in a Shell 1 / 2 / 2.0 / Sac & 2 gig
Gungrave
Phantom: Requiem for the Phantom
Cowboy Bebop
Code Geass
Fate/stay night
The Big O
Black Lagoon
Tengen Toppa Gurren Lagann

If only Boku no Hero Academia came out as an anime already... it would be superpowers galore.
Definitely watch Hunter x Hunter though, as almost everyone else is saying.
And Nanatsu no Taizai for overpowered-ness (if that's even a word).
And Ansatsu Kyoushitsu for tentacled powers.
And maybe some Gantz.

The marvelous adventures of Ein the Data dog aka Cowboy Bebop and Samurai Champloo :D

Oh right! I forgot! Add Toriko to the suggestions too. Superpowers and super eating. It might make you hungry while you watch it.

Jojo's Bizarre adventure is my favourite anime, so that.
Berserk I like the manga and heard good things about the anime.
Enjoyed seraph of the end, kill la kill, cowboy bebop and tengan toppa gurren lagan.

not sure if RWBY counts

Kono_Subarashii_Sekai_ni_Shukufuku_wo!(comedy, action adventure), Akagi(gambling), Parasyte(action, superpowers)

Maken-ki
High School DxD
High School of the Dead
Terraformas
everyone ?

The Tatami Galaxy is great.