Your Top 5 Recommendations

Your Lie in April
K
Hunter X Hunter
One Punch Man
Assassination Classroom

Not in order, but first things that come to mind
Also: "Pokémon: Hard Mode" is a good webcomic, the original Nuzlocke creator
and "Twokinds"
and "Mare Internum"
and "Mystic Revolution"
and "The Lounge"

That's two lists XD

 

SO MANY FEEEELS

Also, I forgot: No Game No Life. It's been so long, I want a second season, it's amazing, and it makes my stats teacher happy. What else could be better?

 

Picking just 5 is hard for me... Well, I'm going to do it anyways.

• Zetsuen no Tempest
• Log Horizon
• Hentai Ouji to Warawanai Neko.
• C: The Money of Soul and Possibility Control
• Seitokai Yakuindomo

Out of these, Seitokai Yakuindomo is the only one I can't recommend to everyone though, due to it's content.

 

It depends on who I'm recommending to, but I think these 5 will generally be liked by most people, no matter their taste:

• Ansatsu Kyoushitsu (Action/Comedy)
• Shokugeki no Souma (Action/Comedy)
• Ao no Exorcist (Action/Adventure)
• Nisekoi (Romance/Comedy)
• Yamada-kun to 7-nin no Majo (Romance/Comedy)

Out of these, Shokugeki no Souma is my favorite, followed by Ansatsu Kyoushitsu, the rest are all solid series, but they're not my all time favorites.
It's pretty much impossible for anime to appeal every kind of viewer, so don't mind if I make a few more top 5 lists >_>

Comedy:

• Boku wa Tomodachi ga Sukunai
• Bokura wa Minna Kawaisou
• Chuunibyou demo Koi ga Shitai!
• Gekkan Shoujo Nozaki-kun
• Sakurasou no Pet na Kanojo

These are all llight romantic comedies. Out of these, I'd recommend Sakurasou no Pet na Kanojo the most. Nichijou is pretty funny too, but I've not finished it.

Action:

• Kill la Kill
• No Game No Life
• Mirai Nikki
• Sword Art Online
• Gatchaman Crowds

I almost never watch action anime anymore, they're absolutely not my genre and these basically the only ones I've watched besides SnK. Out of these, I recommend Kill la Kill the most, it's among my all time favorites.
SAO is in there because I don't actually mind the series too much, even though almost everyone hates it. Sure, there's some wasted potential, but the action scenes, the animation and the music are all amazing. The second season is way better than the first one too, in my opinion.

Romance:

• Clannad
• Shuffle!
• To Love-Ru (anything past the first season)
• Kanon (2006)
• Toradora!

Now, To Love-Ru and Shuffle! are debatable, as they're both heavily ecchi harems. To Love-Ru is actually the best ecchi harem, in my opinion. It has a great and diverse range of girls, plenty of development for most of them too. The To Love-Ru Darkness series has some pretty good drama too and overall most characters in the series are lovable. Skip the first season though, it's way worse compared to the rest of the series.
Shuffle! starts of extremely standard and generic, but in the second half of the show things go crazy and it turns into a quite intense final few episodes. The rest should be self explanatory. I'm not a big fan of Toradora!, but Ryuu is too cute <3

Drama/Horror/Generally darker themes:

• NHK ni Youkoso!
• Zankyou no Terror
• Another
• Death Parade
• Charlotte

NHK ni Youkoso! is my strongest recommendation on this list, but it's definitely not for everyone. If you're curious about it, please give it try though. It's probably the best series I've ever watched. The rest has varying levels of gore, drama, death and violence. Besides NHK ni Youkoso!, my favorite out of these is Charlotte. I would put Gakkou Gurashi in here too, but I'm only a few episodes in.

And for good measure, here's my list of my top 5 all time favorite series:

1. Haikyuu!!
2. Kill la Kill
3. To Love-Ru
4. Shokugeki no Souma
5. NHK ni Youkoso!

With honorable mentions for Charlotte and Ansatsu Kyoushitsu