Well not new ... but there are tons of other animes which are quite as good. In fact I didn't like the anime (death note) that much for I had already read the manga (found it too dramatized in the anime). But maybe thats because I already knew the plot.
Some of my favorite animes (series only):
1. Cowboy Bebop
2. Trigun
3. Gungrave
4. Noir
5. Full Metal Alchemist
6. Witch Hunter Robin
7. Lelouch of the Rebillion Season 1 and 2 - very similar to Death Note I must say. And the season 2 just ended.
Can't recall others - have watched most of the stuff that's there in the animenfo top 200 list. Currently watching Outlaw Star.
Happy Watching!
~M