If you're looking for anime similar to Kira Kira 5th Anniversary Live Anime: Kick Start Generation, you might like these titles.
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!
The first thing that came to mind when watching Kira Kira was the idea of K-on, They are both based around music and are really light however I still think you would prefer K-on as Kira Kira is only a concert and there isn't really any development throughout the OVA. So anyway I think if you like the music theme in Kira Kira and want more emotion and character development you might want to check out K-on. Also if you like music in either you should enjoy the other.