If you like Henry and Mudge books...
I'm glad you asked for a Book Match. Here are some books I think you will like:
Frog and Toad books by Arnold Lobel
George and Martha books by Marshall
Amelia Bedelia books by Peggy Parish
All of these have lots of stories about the same characters.
You might also like My Little Sister Ate One Hare by Grossman, What?
Cried Granny by Lum and The Red Racer by Wood.