Here are books that my kids either read or books that were recommended on different websites for beginning readers. My kids read a lot of them in kindergarten but this list includes also books my son read right at the beginning of 1st grade.
I know that each library has a section on Easy Readers. It was a great resource at the beginning but as my kids started reading more, we ran out of titles they’d be interested in, and I often stood in front of those shelves looking for a book they would enjoy and couldn’t really find one. Since we have such a fabulous library network and can request items from other libraries, I just started looking for the titles online.
Bread and Jam for Frances and other books about Frances. For a complete list of books in the Frances the Badger series click here.
Pete the Cat and His Four Groovy Buttons and the whole Pete the Cat Easy Reader series.
Billy and Milly, Short and Silly!
Chicken Said, “Cluck!” (My First I Can Read)
My First I Can Read books (a list)
Star Wars Are You Scared, Darth Vader?
Penny and Her Marble (I Can Read Book 1)
You can also try other mouse books listed here. I am not sure how hard they are for an independent reader but you can always read the book together and just point to the words.
Mac and Cheese (I Can Read Book 1) There is another book in this series.
Grizzwold (I Can Read Book 1) and other books by Syd Hoff
The Fat Cat Sat on the Mat (I Can Read Book 1)
The Fire Cat (I Can Read Book 1)
I Like Bugs (Step-Into-Reading, Step 1)
Little Bear (An I Can Read Book)
Put Me in the Zoo (I can read it all by myself’ Beginner Books)
Biscuit (My First I Can Read)
A Trip to the Bottom of the World with Mouse: Toon Books Level 1
Morris the Moose To see other books in the Morris and Boris series click here.
Pigsticks and Harold and the Incredible Journey
Princess Pink and the Land of Fake-Believe #1: Moldylocks and the Three Beards For a list of books in this series click here.
A Fly Went by Check out other Beginner Books on Amazon.
Little Mouse Gets Ready (Toon Books Level 1) See more Toon Books Level 1 titles on Amazon and here.
Benny and Penny in the Big No-No! (Toon Books Level 2). For a complete list of books in this series click here.
Stinky (Toon Books Level 2) See more Toon Books Level 2 titles on Amazon and here.
The Shark King (Toon Books Level 3) See more Toon Books Level 3 title on Amazon and here.
Otto’s Orange Day: Toon Books Level 3
Otto’s Backwards Day: Toon Books Level 3
Mo and Jo Fighting Together Forever: Toon Books Level 3
Zig and Wikki in Something Ate My Homework: Toon Books Level 3
The Dragon’s Scales (Step-Into-Reading, Step 3)
Uncle Elephant (I Can Read Book 2)
My Parents Think I’m Sleeping (I Can Read Book 3)
Greg’s Microscope (I Can Read Book 3)
Dirt on My Shirt: Selected Poems (I Can Read Level 2)
The High-Rise Private Eyes #1: The Case of the Missing Monkey (I Can Read Book 2) For a list of books in this series click here.
Fluffy For a list of books in this series by Kate McMullan click here. (Level 3)
I Spy Fly Guy To see other titles in this series, click here.
Edward Marshall‘s books about Fox and his friends
Poppleton For a list of books in this series click here.
Danny and the Dinosaur For a list of books in this series click here.
Fancy Nancy and other Fancy Nancy I Can Read books. For a list of books click here (look for I Can Read titles).
Pinkalicious See a list of books in this series here (look for I Can Read titles).
Let’s Go for a Drive! To see all books in the Elephant and Piggie series, click here.
Rabbit and Robot: The Sleepover
Mouse and Mole: Fine Feathered Friends You can check out other Mouse and Mole stories on Amazon or click here for a list of the titles in this series.
Henry and Mudge and the Great Grandpas
Henry and Mudge and more Henry & Mudge stories.
Monster School: The Spooky Sleepover (I Can Read Book 2)
Paddywack (Step into Reading)
Pony Scouts: Pony Crazy (I Can Read Book 2)
The Best Chef in Second Grade (I Can Read Book 2)
Ling & Ting: Not Exactly the Same! (Passport to Reading Level 3)
Emma’s Strange Pet (I Can Read Book 3)
Little Witch Goes to School (Step-Into-Reading, Step 3) For a list of books in this series click here.
Scholastic Reader Level 3: Pony Mysteries #1: Penny and Pepper: Penny & Pepper For a list of books in this series click here. 
The Stinky Giant (Step into Reading)
Aggie Gets Lost Read more reviews here. For a list of books in this series click here.
Days with Frog and Toad (I Can Read, Level 2) For a complete list of titles in this series click here.
The Frog and Toad Collection Box Set
Little Bear’s Friend (An I Can Read Book). For a list of books in this series click here.
And many more I Can Read Books by Arnorld Lobel
In a Dark, Dark Room and Other Scary Stories (I Can Read! Reading 2)
See a whole list of easy readers here.
Amanda Pig and the Really Hot Day See more Oliver and Amanda stories.
Houndsley and Catina For a list of books in this series click here.
Cork and Fuzz My son read this series at the end of kindergarten. It was one of his favorites. For a list of books in this series click here.
Minnie and Moo My son read this series at the beginning of 1st grade. For a list of books click here.
Cowgirl Kate and Cocoa and more stories with Cowgirl Kate and Cocoa.
Lyle, Lyle, Crocodile and other Lyle, Lyle Crocodile stories by Bernard Waber. For a complete list click here.
Murilla Gorilla, Jungle Detective For a list of books in this series click here. We only discovered this when my son was already reading longer chapter books so he was not excited about it but if you are looking for more easy readers, it is worth a try.
Bramble and Maggie: Horse Meets Girl Look also for Bramble and Maggie: Give and Take, Bramble and Maggie Spooky Season
Mr. Putter & Tabby Pour the Tea For a list of books in this series click here.
Pirate Mom (Step into Reading)
A Poor Excuse for a Dragon (Step into Reading)
How Not to Babysit Your Brother (Step into Reading)
How Not to Start Third Grade (Step into Reading 4)
Elvis the Rooster See more ratings and reviews here.
Monkey & Robot and More of Monkey & Robot
Young Cam Jansen Mysteries For a complete list of books in this series, click here. He has read several mysteries.
Get Ready for Second Grade, Amber Brown For a list of books in this series, click here.
Pearl and Wagner: One Funny Day There are more Pearl and Wagner stories. Here is another list of the titles in this series.
Zelda and Ivy: The Runaways You can find more Zelda and Ivy stories.
Iris and Walter For a complete list in this series click here.
Pinky and Rex For a list of all books in this series click here.
Bink and Gollie For a list of books in this series click here.
Mercy Watson Goes for a Ride and more Mercy Watson stories. For a complete list click here.
Helen Keller: Courage in the Dark (Step-Into-Reading, Step 4)
The Titanic: Lost and Found (Step-Into-Reading, Step 4)
To the Top! Climbing the World’s Highest Mountain (Step-Into-Reading, Step 5)
All Paws on Deck For a list of books in this series click here.
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Great job on your website Lucie! Lots of great picks for each category!