Well, here are some recent ones:
Nichijou (A brilliant random slice-of-life comedy; probably the best showcase of Japanese humor I've ever seen. It also has a subtle plotline throughout that's very sweet. Recently it got an English dub, but as I only watched the first 5-ish episodes of it I can't vouch for it yet.)
The Rolling Girls (A coming-of-age story that takes the form of an action-adventure road trip. I'm still a bit sour about it...I wanted a straight-up action anime and didn't get it. ^^; But the all the characters were so sweet and enjoyable anyway. Highlights are animation style and character design, and the music is fantastic.)
Black Rock Shooter (Pure unadulterated EDGE in anime form. XD Also, the mechanics of the story are a bit confusing...but it's an old favorite of mine for the raw emotion of the story beats, and the amazing action scenes that made excellent use of 3D animation before it was cool (and sadly, rarely gets credit for that). Here I'm speaking of the 10-episode TV anime; BRS has a few different incarnations-- the history of the concept is actually pretty interesting)
KARAS (Speaking of edge...Karas is probably the most mature anime I've ever watched. Thankfully, it's 'mature' in the sense that it takes itself seriously, and not just in the sense that it has a lot of blood and violence (and it does~). It's ridiculously obscure, and could easily have fallen through the cracks...I'm really thankful that I got to see it and love it. ^^)
Princess Principal (A steampunk science-fiction series (which is supposed to be receiving a sequel movie in two months...it keeps getting delayed ;_;) about teenage spies. It's probably the most fanservicey of everything I've listed, but nowhere near enough to detract from its amazing heartfelt storytelling and action scenes. The English dub is particularly delightful; it's not perfect, but it's clear that they put an unusual amount of effort into the accents and casting, and I actually prefer watching it because the many English characters actually speak English. ^^; A little less suspension of disbelief, y'know?)
Houseki no Kuni/Land of the Lustrous (A very unique fantasy series, and my current favorite modern anime. You may find yourself a bit bored with the first 2 episodes, but keep watching; I promise it gets better and better. ^^ Unfortunately, we don't have a Season 2 to look forward to atm, but since it was well received, and the manga (which is equally incredible) seems to be coming to a close, I have a good feeling that we'll see more of the gems someday in the future.)
Wonder Egg Priority (This one is actually ongoing. ^^; It's a psychological action series, and basically 'Trigger Warning: the anime'. Seriously, if you're particularly sensitive to any sort of abuse/suicide-related content, you should probably avoid it entirely. But if you can stomach that, so far it seems to be a brilliant show with lovable characters and messages (and spectacular animation!). Since it's not over, I can't technically recommend it, but so far I have a good feeling about it, and this late in the game I'm rarely wrong.)