- The Runaway Bunny
- Harold and the Purple Crayon
- Grandfather Twilight (for slightly older children)
- Sandra Boynton books
- Max's Breakfast (and other books)
- I Read Signs (Tana Hoban; other books by her also quite good)
- Go! Go! Go! Stop! (Cherise Mericle Harper)
- Little Pea (Amy Krouse Rosenthal)
- Trucks, My Car (and other Byron Barton books)
- The Very Hungry Caterpillar (Eric Carle; some other books by this author are also good)
- Roadwork (Sally Sutton; also in the same vein by the illustrator Brian Lovelock: Demolition, Flight of the Honey Bee, The Rain Train).
Many others come to mind, but these are well-loved.
My son, who will be 3 in July, seems to only like books that rhythm or have some type of pattern.
Here are some he likes:
Enough Inigo Enough https://www.amazon.com/Enough-Inigo-Gentle-Revolution/dp/075...
Good Night Moon https://www.amazon.com/Goodnight-Moon-Margaret-Wise-Brown/dp...
Little Blue Truck https://www.amazon.com/Little-Blue-Truck-board-book/dp/05445...
Green Eggs and Ham https://www.amazon.com/Green-Eggs-Ham-Dr-Seuss/dp/0394800168
1: https://www.amazon.com/Boy-Who-Loved-Math-Improbable/dp/1596...
As my kids got a bit older the Box Car children series was compelling, and the girls loved the Rainbow Magic books. Capt. Underpants and Dog man are hilarious and just subversive enough that a 7-9 yr old feel like they are getting away with something. Then on to Mysterious Benedict Society, Harry Potter, Rick Riordan, and Keeper of the Lost Cities.
Our M.O. was to max out our Library card on a regular basis with just about everything possible and then iterate from there on the authors the kids enjoyed. I feel like reading is one of the things we've gotten right so far.
One I really liked was The Bravest Ever Bear. I forget who it's by, but it is pretty good by the "adult reading 100 times" test. It may be for kids a bit older than 4, but not a lot.
I always found just reading fact books was better than stories
All the picture books of William Joyce
Paul O. Zelinsky's Rumpelstiltskin