For #1, these are all dialogue only. The first three are humor, the last two are funny but also help kids learn concepts.
Croc & Turtle - Mike Wohnoutka
Who Wet My Pants - Bob Shea and Zachariah Ohora
OX, Ox - Adam Rex and Scott Campbell
This Book is Gray - Lindsay Ward
The Happy Book - Andy Rash
For #2, I don't know if these are exactly the kind you're looking for, but maybe they'll help like what Julie said with searching Amazon's recommendations.
The Wonderful Things You Will Be - Emily Winfield Martin
A Father's Love - Hannah Holt and Yee Von Chan
I hope you find some great comps for your stories!