If you liked the Yuyushiki anime, the Anime-Planet community thinks you'd like:
It's the first day of high school, and plenty of school clubs are doing their best to recruit new members. However, for ditzy Yui, none of them seem to fit the bill. However, when she accidentally signs up to join the light music club, Yui begins a hilarious adventure to become a world class guitarist! There's just one problem: she's never played the guitar before in her life! Joined by bassist Mio, drummer Ritsu and keyboardist Tsugumi, Yui and the gang will juggle their studies with buying instruments, learning how to read music and even performing in the school festival, all in the hopes of someday becoming a successful band!
Both are tremendously funny anime about cute girls doing cute things. And their clubs! Both have oodles of yuri subtext and straight man/funny man humor. They are different enough that they aren't carbon copies of each other, but both rely on random humor and the oddness of its cast to make the viewer laugh. If you like one, you should try out the other.
Meet the Minami sisters, three girls living on their own and doing their best to make it through life's little snags and adventures. Kana, the middle sister, has far more energy than common sense; Chiaki, the youngest, is more reserved, but her sharp tongue and devious mind often cause trouble for others; and Haruka, the eldest, acts like a mother to the other two, is beautiful and kind, but has a fearsome stern streak. Together, no obstacle can stand in their way, be it school, romance, or even cooking.
Both of these shows are slice of life comedies that have a trio of girls as the main characters. While Yuyushiki features three girls in the same year at school, Minami-ke revolves around three sisters of varying age. The comedy with each is fairly similar, with a lot of random and phyical gags in both shows, although Yuyushiki is different in that it has fairly prevalent shoujo-ai themes throughout.
While these shows may not be set in the same location, have similar themes or have the same kind of pacing, i think the fact that both shows follow a group of young schoolgirls as they have many comedic interactions is more than enough to recommend these shows together.
Yuyushiki is a little more fast paced, and a bit more random, but if you enjoyed one of these shows comedy style then the other should hold your attention. Just be aware that Non Non Biyori is considerably slower paced than the former, even if both can be pretty relaxing for the genre. But lets face it, people who enjoy one moe comedy tend to enjoy most others to some degree, so give the other a go if you've seen one of them!