Warning: probably TLDR

This is something I've always been really curious about, because so much of Azumanga feels like Alice in Wonderland.

The most notable thing is that Osaka is EXTREMELY similar to Alice. Because her inner monologues aren't inside the movie, it's harder to realize but in the books, Alice has a mind that wanders in really odd ways. Here's some excerpts that seem very similar to how Osaka would act.

(after alice eats the cake to grow big)
"'Curiouser and curiouser!' cried Alice (she was so much surprised, that for the moment she quite forgot how to speak good English); 'now I'm opening out like the largest telescope that ever was! Good-bye, feet!' (for when she looked down at her feet, they seemed to be almost out of sight, they were getting so far off). 'Oh, my poor little feet, I wonder who will put on your shoes and stockings for you now, dears? I'm sure I shan't be able! I shall be a great deal too far off to trouble myself about you: you must manage the best way you can;—but I must be kind to them,' thought Alice, 'or perhaps they won't walk the way I want to go! Let me see: I'll give them a new pair of boots every Christmas.'
And she went on planning to herself how she would manage it. 'They must go by the carrier,' she thought; 'and how funny it'll seem, sending presents to one's own feet! And how odd the directions will look!

 Alice's Right Foot, Esq.
   Hearthrug,
     near The Fender,
       (with Alice's love). "

and another one

"Who in the world am I? Ah, that's the great puzzle!' And she began thinking over all the children she knew that were of the same age as herself, to see if she could have been changed for any of them.
'I'm sure I'm not Ada,' she said, 'for her hair goes in such long ringlets, and mine doesn't go in ringlets at all; and I'm sure I can't be Mabel, for I know all sorts of things, and she, oh! she knows such a very little! Besides, she's she, and I'm I, and—oh dear, how puzzling it all is! I'll try if I know all the things I used to know. Let me see: four times five is twelve, and four times six is thirteen, and four times seven is—oh dear! I shall never get to twenty at that rate! However, the Multiplication Table doesn't signify: let's try Geography. London is the capital of Paris, and Paris is the capital of Rome, and Rome—no, that's all wrong, I'm certain! I must have been changed for Mabel! I'll try and say "How doth the little—"' and she crossed her hands on her lap as if she were saying lessons, and began to repeat it, but her voice sounded hoarse and strange, and the words did not come the same as they used to do:—

 'How doth the little crocodile
  Improve his shining tail,
 And pour the waters of the Nile
  On every golden scale!

 'How cheerfully he seems to grin,
  How neatly spread his claws,
 And welcome little fishes in
  With gently smiling jaws!'

'I'm sure those are not the right words,' said poor Alice, and her eyes filled with tears again as she went on, 'I must be Mabel after all, and I shall have to go and live in that poky little house, and have next to no toys to play with, and oh! ever so many lessons to learn! No, I've made up my mind about it; if I'm Mabel, I'll stay down here! It'll be no use their putting their heads down and saying "Come up again, dear!" I shall only look up and say "Who am I then? Tell me that first, and then, if I like being that person, I'll come up: if not, I'll stay down here till I'm somebody else"—but, oh dear!' cried Alice, with a sudden burst of tears, 'I do wish they would put their heads down! I am so very tired of being all alone here!'"

And there's a ton more like this in both books! There's also the whole dreaming of a bizarre mystical land repeatedly. Also, the Father Cat is very much like one of the wonderland creatures: speaking in incomprehensible riddles, making random nonsensical claims, having sudden shifts in moods for seemingly no reason.

Sorry to do this big text dump just Lewis Caroll is my favorite author and it really does feel like parts of Azumanga used it as inspiration

Thanks for reading!