From the back cover:
The second hilarious volume of Azumanga Daioh takes Chiyo and the girls from end-of-first-year hijinks into the general silliness of their second year. Includes two special edition comic segments: “Osaka’s Half Day” and “A Day in the Life of Chiyo-chan!”
This volume was pretty much exactly the same as the first volume, except some of the cuteness factor wore off. The things I liked the first time (Sakaki, the kitties, the nonverbal storytelling, Chiyo-chan) were still the things I liked this time and the things I disliked (Tomo, Yukari-sensei, the pervy teacher) were still the things I disliked.
I was wondering whether I’d actually like this better if everyone annoying were excised and it was instead the “Sakaki and Chiyo are reasonable human beings and occasionally walk a friendly dog” show. I don’t think I’d tire of it, but I guess the other characters are necessary if only to prompt amusing reactions from my two favorites.
I find I haven’t much more to say, except that I hope Sakaki manages to befriend a kitty by the end of the series.