Azumanga Daioh, Hidamari Sketch Recommendations
Both are slice-of-life comedies featuring a group of female high school students (and occasionally their teachers). The humor comes primarily from the quirky personalities of the cast in both series, and they share the same laid back atmosphere. The art style of Hidamari is a little more unusual, though.
Both are funny nonsensical slice of life shows.
Both are funny, slower paced slice-of-life comedies that rely heavily on comedic timing.