Kage Kara Mamoru - 12 episodes. The last episode recently aired, and the sub(s) for that one should be showing up soon. Comedy about a family of ninjas who have been secretly protecting another family for 400 years. The high school age son, Mamoru, is resposible for protecting Yuuna. She is a disaster magnet, which keeps Mamoru's life interesting. Fun series that never tries to take itself too seriously.
Ginban Kaleidoscope - 12 episodes. Romance, comedy, drama, sports
Link to ANN info
Damekko Doubutsu "Useless Animals" - 26 episodes, but each episode is only 5 minutes long. Comedy
Link to ANN info
Natsuiro no Sunadokei - 2 episodes. Romance, drama, some science-fiction elements
Link to ANN info
You specified that you wanted finished series, but I would also highly recommend that you take a look at
REC, an anime about a young voice actress just getting started in the business. This series has 9 episodes of about 12 minutes each, and subtitled episodes are currently available through episode 7.
Link to ANN info