I fervently recommend Planetes. It's hard sci-fi , not that far away in time and technology has expanded only slightly. No FTL engines. Planetes tells the story of a young man who works at the worst department of an orbital station - the Debris section. Since there have been many incidents with ships hitting debris at high velocity , the Debris section is like the space cleaning service. They're very underapreciated but do a very important task.
Planetes presents very interesting characters, very realistic and lifelike, unlike other shows, and also makes you think of interesting problems like "Is space expansion going to eliminate or deepen world poverty?", "Results of prolonged space radiation", etc, etc.
Best of all it's the regular anime size (26 episodes x 25 min) and it has a decent ending.
Here's a link for a description in
AniDB