Want to read manga instead? A long awesome underrated manga?

Kingdom

It does have an anime. 2 seasons but there are some things that might be off lol. Give the anime a try I guess. Just have to bear this weird 3d animation they sometimes do! 

Black Butler.

I really enjoy how the anime has a dark ending, and a separate season that continues from the middle of the first season.

You'll really enjoy watching it. Characters are memorable. Slight yaoi moments in there(if that's what you crave).

Steins;Gate

If you like those "Hunger Games/Fate Zero" concept i recommend - Mirrai Nikki

If you like "Final Destination/Cheat and avoid death" i recommend - Another

If you like "Fantasy, and a Unique story" I recommend - Shinsekai Yori

If you like "Mystery where you try to think who the culprit is" I recommend - Another (again), Rokka no Yuusha.

If you like "Ecchi Animes but the plot is still interesting" I recommend - No Game No Life, Shokugeki No Soma.

If you like "Action anime and a very a popular and awesome one in the community" I recommend - Attack On Titan

(might post more later)

Looking at your list I would say animes that I watched and you didn't that are really good are
1. Fate/stay and night:unlimited bladeworks
2. Gintama
3. Hajime no Ippo
4. Hunter X Hunter 2011 version
5. Hellsing Ultimate
6. Gate/JDF
7. 7 deadly sins (you'll love it if you like dragon ball z)
8. Magi
9. One punch man
10. overlord
11. Tokyo Ghoul
12. Noragami Aragoto
13. Shingeki no Bahamut: Genesis
14. Beelzebub
15. Kuroko no Basket.16. No game no life.

These are all the ones I've personally seen and you haven't which I think you will like since most people do.

Fairy tail.

Gintama
Hunter x Hunter 2011
Steins;Gate
Suzumiya Haruhi no Yuutsu
Konjiki no Gash Bell!

I suppose from your lists that you've already seen InuYasha, but if you didn't/didn't finish it, you really should too!

Gintama
One-Punch Man
Parasyte
JoJo's Bizarre Adventure

I found The Simpsons to be a pretty good anime