While Ayu Mayu Gekijou is a spin-off show from Kimi ga Nozomu Eien. I would not reccomend this to anyone of those, who only have seen Kimi ga Nozomu Eien animated series. Just dont lose your time with this. You wont understand half of the jokes and comedy of these 7 episodes! I would only reccomend this anime for those that have finished Kimi ga Nozomu Eien series AND have played Muv-Luv Series (Extra, Unlimited and Alternative) Visual Novels! ONLY THEN, you should give this show a try, just for starters, the BETA's are revealed on this anime, along with other spoilers from Muv-Luv Alternative. Sohalf the show is refering to stuff from that series, and those are the most funnier jokes!
So please if you havent done what I reccomended, just avoid this show.

Now if you have indeed complete the anime series and the VNs of ML series, you can expect to have some good laughs with the show.
It will also help people dealing with the depression, after having finished MLA.
Also the cast from both series has at least an appearence in these seven mini episodes. So at least you get to see some ML anime stuff animated...

It definitly provided some great laughs, some scenes were just making jokes from both series, and those were some of the best. xD