Recently I've watched a lot of productions focused on kids/teen girls. I'm not sure there has a been a statistical increase in this sort of theme, but it feels like that. I don't mind at all, I find it refreshing, funny and fascinating.
A TV-series in particular grabbed my attention: the american "P3n1s". Very well done, overall funny and on occasions hilarious. With "Asobi Asobase" we have something similiar where to the weirdness, cuteness and sillyness we add a lot of insanity and "innocent" evilness. Moreover, the anime form allows for even more extreme situations/characterizations.
I'm definetely not the guy that finds a lot of stuff amusing, and I don't even remember to have been LMAOing to tears in recent years. Yet AA achieved that a couple of times. Adult entertainment though, doubt that your 16yo kid would enjoy that (they maybe even feel threathened by the depth of the reverse psychology in action).
Very well written, a special mention goes to the voice acting geniuses working with the artists. Unfortunately a couple of episodes didn't stay on par with the rest (might be partially the fault of a man in his 40s' low sensibility and acumen) otherwise it would have been a perfect 10.
The ending song is a MASTERPIECE of a new genre: "cute deranged death metal". It perfectly embodies these girls' teeny crazyness (not sure but I guess it's the anime's voice actors that sing it)! Look for the full 4mins version online.