If you liked
Lucky☆Star
|
...then you might like
Yuyushiki
|
Similar concepts, characters. If you liked らき☆すた(Lucky Star), you're definitely going to like Yuyushiki. Just beware, Yuyushiki is, what I would call, "Borderline" between Lucky Star and Yuru Yuri, so expect a bit of "yuriness" from time to time.
If you liked
Kobayashi-san Chi no Maid Dragon
|
...then you might like
Sewayaki Kitsune no Senko-san
|
Both feature a main character whose life turns upside down when a dragon/fox demigod appears at their doorstep.
If you liked
Lucky☆Star
|
...then you might like
Nichijou
|
Both are KyoAni, both are Slice of Life centered around a group of girls, both are similiarly enjoyable, except Nichijou is more unrealistic/dramatic while Lucky Star is more laid-back and modern(otaku)-culture oriented
If you liked
Lucky☆Star
|
...then you might like
K-On!
|
Both are KyotoAni, both follow everyday life of highschool girls, both are great Slice of Life anime. The only difference is that one is about music, the other about Otaku culture.