Whilst I suspect the New Models thread extended Anime cutaway is responsible for this one being created, I wholeheartedly approve!!
My Anime awakening was in 1994 - back when Channel 4 (in the UK) had its "Late Licence". Started with Tokyo Babylon, moved onto Cyber City OEDO 808 and then the Anime (or Manga as we called it erroneously back then) fascination set in!!
Obviously I have a love of the 80s/90s classics but my recent trawling through Crunchyroll has netted a few fun series, a few serious ones and a couple of weird ones.
Talking of
Cyber City OEDO 808 - earlier this year I managed to get hold of the Blu-Ray release. It's rather nice, though the perfectionist in me is annoyed its an upscale of the Japanese SD DVD which has introduced some artefacts to episode one. However its the only place to get the legitimate version of the awesome Rory McFarlane cyberpunk Manga UK soundtrack, supplied both on the BD itself and on a bonus CD. Admittedly being a geeky Otaku I already had the 1995 Demon Records release but... never hurts to have a spare!! I'm pleased that I don't have to worry about the gradual disintegration on by 1995 VHS though.
Wish I'd managed to get the Bubblegum Crisis Blu-Ray when it was released but my MVM DVD's will surfice for full on Priss action!!
As for recent series... Hmmm.

I would suggest
"Charlotte" as an interesting watch. Its starts as a very typical "High school magic kid" comedy but then takes a few very sharp twists and turns and by the end its a very different series! Almost a bit like a better planned out version of Heroes.
If you like fantasy then
Rokka: Braves of the Six Flowers was a weird watch - its really a whodunnit series but mixed with some fantastical stuff.
"
Is it wrong to pick up girls in a Dungeon?" sounds like an arrestable offence but is actually a weird mix of a fantasy world that seems to be a live action roleplay too.
Something a bit left of centre:
Kokoro Connect is an odd body swap Anime which keeps on changing the parameters of how the swaps occur due to some weird influence.
GIRLS und PANZER is pretty much what you expect. Girls messing around with tanks, which apparently is an option for those who didn't want to do home economics or similar club stuff at school.
I'll leave it there. Hope to get some good recommendations (apart from visiting a shrink)! Honestly when I get bored I'll pick any old series and give it a go.