Long ago I used to have some definite interest in both manga and some anime(Urusei Yatsura and Robotech TV/movies for example). Kinda interested in getting back into some of this, but most of the old stuff is not available any more or hard to find anyway, and I know almost nothing about the new stuff. So, looking for suggestions. Is Naruto worth getting into?
Berserk and Claymore are strong strong Dark Fantasy entries; unfortunately Berserk is one of the longest running mangas in history and the anime cuts it short after the first arc, and Claymore's going in that direction; still, at least Claymore anime can be found on Netflix instant watch (unless they took it off). All except the last two episodes are worth watching. It's a good place to start. The direction is phenomenal.
Code Geass is a very strong contemporary entry in science fiction/alternative history/mecha; at least the first season.
The Big O is a film noir/science fiction/mecha that mixes elements of Blade Runner, Metropolis (the 1920s German film), and Batman: The Animated Series. It's one of my personal favorites and has some highly memorable personalities.
Kenichi the Mightiest Disciple has some cliches but its semi-realist treatment of martial arts is ... fun.
In my experience Lupin the III is great no matter what the time period.
Anything by Hazayko Myzaki; get his entire filmography if you can.
Neon Genesis Evangelion is 'the' definitive psycho-existential piece; the anime has elaborate psychological treatments, but think the manga is 'better' at dramatic character development.
If you are set on manga, then xxxHolic is a very interesting contemporary transposition of Japanese folk lore and spirituality into a contemporary setting.
Mobile Suit Gundam: 8th Mobile Suit Team is my favorite of the vast Gundam franchise, and it is short and undemending. If you've never seen a Gundam, then the original Gundam or Gundam SEED; although the original is dated and Gundam SEED is a bit plastic (might not be noticeable to someone new to Gundam though). Some people would recommend Gundam Wing as the sample, but I think it is too over the top and not as heavy in traditional Space Opera elements.