Kill La Kill thus far is the only new show coming out that I care about. I usually wait until reviews start coming in before I check anything else out.
I'm currently watching Attack on Titan, Genshiken Nidaime, Watamote, Michiko and Hatchin, and Nichijou.
My go to anime that I always recommend people are the following, many are series that most everyone has already seen, but they're necessary to list in the event there's someone that hasn't actually seen it like Bebop or EVA. I broke these down into various lists, there's some repeats on there in each category.
Anime Series that I love and want everyone else to watch
Revolutionary Girl Utena (I know who is destined to be my truest friend if they love this as much as I do)
Madoka Magica
Kino's Journey (I can't recommend this enough, it's a series that ranks up there with Bebop in terms of series that everyone on the planet should like)
Rose of Versailles
Monster (on the manga side of things, pretty much the entire Naoki Urasawa library is amazing)
Attack on Titan
Neon Genesis Evangelion
Gurren Lagann
Fullmetal Alchemist Brotherhood
Baccano
Vision of Escaflowne
Cowboy Bebop
Eden of the East
Samurai Champloo
Beck
Hellsing Ultimate
Haibane Renmei
Paranoia Agent
FLCL
Moribito
Planetes
Mushishi
Black Lagoon
Fruits Basket
Azmumanga Daioh
Paradise Kiss
Mawaru Penguindrum
Anime Films
Akira
Paprika
Perfect Blue
Millennium Actress
Tokyo Godfathers
Summer Wars
Ninja Scroll
The Place Promised in Our Early Days
Ghost in the Shell
Nausicaa
Spirited Away
Princess Mononoke
The Cat Returns(pretty much the whole Ghibli library)
Wings of Honneamise
The Girl Who Leapt Through Time
Cat Soup
Redline
Neon Genesis Evangelion 1.0, 2.0, and 3.0
Anime for Beginners (people that aren't into it but want to check it out. These are all easy to get into and friendly to new audiences. Some of these were on old Toonami)
Black Lagoon
Cowboy Bebop
Samurai Champloo
Michiko and Hatchin
Moribito
Kino's Journey
Trigun
Eden of the East
Fullmetal Alchemist
Tenchi Muyo (only the original OVA and TV series)
Outlaw Star
Afro Samurai
Tiger and Bunny
99 Problems and a Cat
Croi Desai vs. HR99
@ 12:30 AM Apr 23rd