What is it?
Minami-ke is the story of the three Minami sisters who live alone. For some reason, we never know exactly why they live together, since their parents are never mentionned. Since they don't seem to mind though, there's no reason to let it bother us.
The Minami sisters each have their own unique personalities, which is what moves the story along.
What's good about it?
The main characters really drive this show, especially kana and Chiaki. A lot of the series is just the two of them going at it with each other. The style is very reminiscent to Lucky Star, minus all the otaku content. You can easily draw comparisons between Kana and Konata, though they do have their dissimilarities. Minami-ke beats Lucky Star hands down in the supportive cast category, both in terms quantity and quality. The emo-dillusional loverboy Hosaka, the cross-dressing, onee-san loving shota character, the popular athlete whose crush causes him misunderstandings and stress galore are all appreciated characters.
What's bad about it?
The only downside to 4-panel manga style of anime series is that the reactions, jokes, themes tend to become repetitive and somewhat predictable. However, I found Minami-ke evades this trap better than most in the genre by mostly staying fresh in regards to material.
You all know I live for these kinds of anime series. When I'm watching series like Lucky Star, Pani Poni Dash, Cromartie High, School Rumble and Azumanga Daioh, I find myself quite willing to ignore minor flaws purely because of the enjoyment factor they provide, and Minami-ke is no exception to that. I was also impressed that Minami-ke made a notably better job that Lucky Star at staying fresh and avoiding repetitiveness(though I'm willing to concede that it being half as long in terms of episodes might help its cause). I'm very eager to see if this trend continues in Minami-ke Okawari, but for some reason I'm not worried it won't.