Seeing as you like furries, maybe you'd like the movie wolf children? it's about a girl who falls in love with a werewolf (it sounds kind of cliche but i promise it's actually really good and has a unique story)
Etotama
Girls Und Panzer
Miss Kobayashi's Dragon Maid
Izetta: the Last Witch
My Bride Is A Mermaid
World Conquest Zvezda Plot
Konosuba
Interviews With Monster Girls
These can be watched more than once and still enjoyed over and over again (I know I'm missing some, but I can't think of them at the moment: not to mention it's a long list... ': D )
Some of my personal favorites are a bit more serious than these. Here's a few:
Akame ga KILL!
Claymore
Madoka Magica
Overlord
Mirai Nikki
Death Parade
Witchblade
Selector Infected/Spread WIXOSS
A Certain Magical Index
I would recommend The Tatami Galaxy, if you didn't watch it yet. It's such a wonderful bizarre anime with an amazing story and lovely characters, besides the music is also superb.
Also Kuuchuu Buranko (Welcome to Irabu's Office). It's crazy, it's colorful, all I can say is go and give it a try.
Well I don't know what you're into, but if you like animals I really reccomend Aggretsuko, it's on Netflix and it's super cute.
I always reccomend Samurai Champloo, excellent story, but if you want something cuter Princess Jellyfish is a great choice, its honestly one of the prettiest anime I've ever seen