Lucky Star doesn't have a plot. There is nothing in Lucky Star that even vaguely resembles a story. So it must be character driven, right? However, Lucky Star lack conflict and character development. The show covers 1 year of their lives (high school) and after one year all the characters look and act the same. Oh wait, they change their hair style for 2 minutes, but that’s all.
So what exactly is Lucky Star? Lucky Star is a gag anime, designed to get a quick laugh out of the audience. They use an ensemble of students and teachers with distinct quirks all of which are female (except for one). We watch the characters go through a variety of normal everyday situations. Through the characters quirks and exaggerated expressions, we get most of the humor in the show.
The character's quirks and jokes are not very funny. You think it gets better after a few episodes. But the jokes are old and very repetitive. How many times is Miyuki spaced out? How many times does Konata annoy Kagami? Yes, we know you are a freak that likes high school girls. The repeated use of the same quirks makes many of the characters seem shallow and one-dimensional. I mean is there anything else beyond the two, three word description you can give to each character (ie "airhead" "pervert" "smart/cute" "athletic" "energetic"). The jokes did not come from the characters; the characters themselves were the joke. What breaks this anime for me is that even the situations are repetitive. We have a Sport fest, culture fest, and beach episode. By the time I was at the first 10 minutes I was already getting bored with the incessant, unfunny, thinly-veiled penis jokes about food.