I watched the whole series of Scrapped Princess in like 4 days or so because it was such an amazing, well drawn and interesting storyline I could'nt stop until the end. I'm glad to got the hint here because I never heard of it anywhere else so far.
By now I'm watching Hunter x Hunter which reminds me of the Robin Hood Anime which I loved when I was about 5 years old lol.

Even though Hunter x Hunter's not really an adult or hyper-action-cgi-whatever anime I quite like it for good characters an interesting story.
But as you asked for something new I just remembered a series, which actually ranges in my favourite Top3 of the best Anime ever, but I kind of forgot to mention it, because I watched it like 2 years ago:
GUNGRAVE
Seriously...Grungrave absolutely kicks ass. I would say the story is on the same decent level as Death Notes, taking place both in the past and a not so far away future and with maybe the best characters I've seen so far in an anime. If you didn't watch it so far, please do it...just because you won't find anything so exciting in that anime genre.