Some absolute favourites: Durarara!! (both light novel and anime - cannot WAIT for the second season next year), Natsume Yuujinchou (only manga, but it's stolen my heart, haha), Noragami (both manga and anime, and absolutely love it), Kyoukai no Kanata, Sword Art Online (I've as up to date with the light novels as I've been able to get, and was pleasantly surprised at the anime).
Hellsing was good (both series, but especially Ultimate - it captured the manga very nicely indeed). Kamisama Hajimema****a is one of my favourites, too (both manga and anime), but chiefly because of pretty art and bishounen, haha... sucker for both, especially when they're mixed with supernatural themes and a decent story. Umm... a recent one I watched was Kyo Kara Maoh!. Good entertainment, doesn't aspire to be more than it is, pretty fun. Shiki is a good horror one. Thought provoking. I've also seen Daily Lives of Highschool Boys, and LOVED it. So much so that I rewatched it immediately afterwards. I've seen Nichijou, too. If anyone has recommendations similar to those two, I'd love to know!
A manga that's always been pretty special to me is Donten ni Warau. Supernatural, again, fantasy, historical... the most well-done death of a character I've ever seen. It's an ongoing series, though, so I'm not completely set on my opinion yet. It'll always rank highish, though.
Argh, I've read/watched too many. There's at least five times as many titles that I haven't yet mentioned that I've enjoyed. Mmm. I'll edit this post when I remember more and have more time, haha.
Edit: Ah, does anyone here remember Calimero? I don't think it ever showed in English, but it was quite popular in NL when I was a child, and every now and then my grandparents send over a VCR or DVD with some episodes or an OVA. Used to watch Heidi and Nils Holgersson so much that the VCR tapes had fog and white lines running through them, too. Hmm. I don't think either of those had a showing in English, either, apart from the film length edited version of Heidi. Oh! There was also this series of Pinocchio. I loved it, but my sister didn't, because of this one episode where Gepetto is looking for Pinocchio, and Pinocchio can hear him, but can't find him, and it's not Gepetto he can hear, anyway, it's the fox. I also watched The Brave Frog, which I now read is a condensed film-length version of a 52 episode anime... it was sad. That film haunted my childhood, and still haunts my life now.
I've also seen ALL of the Ghibli films, barring the very newest, The Wind Rises. I mean all. That includes Goshu the Cellist, Castle of Cagliostro, Ocean Waves, and other obscure ones. I've liked them all, and loved most.