Dr. Seuss of course! Or how about Good Night Moon? Stellaluna? Skippyjon Jones (my five year old son LOVES that one). Or of course there are the Courderoy books. Those are pretty classic "American" books.
Where the Wild Things are would be great-the illlustrations are wonderful and you can pretty much follow the story from them. Same with Caps for Sale and the Run Away Bunny
I'd go with "Green Eggs and Ham" by Dr. Seuss because it's phonetic for the most part, easy to read, every American child knows it, and the illustrations are fun.
The only thing bad about those is it is written in the Kindergarten voice and has many misspelled words (on purpose). IMO that would be hard for a child who is learning to read English.
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