Bebop was okay I guess, but I liked Samurai Champloo more. Definitely recommend Champloo.
Seeing quite a few Berserk recommendations, and I'm afraid I can't echo them. The ending of that anime is the biggest WTF cliffhanger ever, and if you're not willing to check out the manga afterwards I honestly can't say it's worth it. I mean the anime's good stuff, but you're not getting a remotely complete story from it.
What's the deal with Ghost in the Shell? I see there are two TV seasons as well as some movies. What's generally recommended when it comes to that series?
the movies and series are not in the same universe and exist independent of them. I vastly prefer the tv series over the movies... but if you are more into artsy stuff the movies will likely appeal to you more.... Regardless of my thoughts on the ghost in the shell movies... they are both beautiful works of art when it comes to the animation and design.
If you want to check out the series though
universe 1
Ghost in the shell
Ghost in the shell innocence
universe 2
Ghost in the shell stand alone complex
ghost in the shell stand alone complex second gig
ghost in the shell stand alone complex solid state society (great movie, only movie from the tv series that adds to the plot instead of just recapping a season aka ignore the laughing man move and the individual 11 movie and just watch the seasons instead)
universe 3
ghost in the shell arise (still airing.... slowly... so very slowly)