Azumanga Daioh is one of my favorites. I will recommend:

K-On!

Asobi Asobase

Nichojou

Lucky star

I don't think anything can really match the chill out vibes of Azumanga Daioh combined with the absurdity / surreality. But if you like it I think you would like these.

Nichijou is pretty similar, however a bit more high energy.

Lucky Star

• Slow Start
• Joshikousei no Mudazukai
• Hidamari Sketch
• Ninin ga Shinobuden
• Kill Me Baby
• Yuyushiki
• Yuru Yuri
• Softenni
• Non Non Biyori

Nichijou

Grand Blue

Daily life of high school boys

On top of the other suggestions here, maybe Bochi the Rock? It's a bit of a stretch, I admit.

So for me the closest in feeling to the surrealism and lack of excessive horny is probably Saiki K on Netflix

Hidamari Sketch