Little Golden Books, Fairy Tales, just about everything benefits from one character who has a voice that bit off kilter.
The Cat in the Hat is much more enjoyable to read, and a hell of a lot more disturbing, if you read all the Cat's lines as a cross between Richard O'Brien's portrayal of Riff Raff from Rocky Horror Picture Show and Anthony Hopkins playing Hannibal.
Try it for yourself!
"But I like to be here.
Oh, I like it a lot!"
Said the Cat in the Hat
To the fish in the pot.
"I will NOT go away.
I do NOT wish to go!
And so." said the Cat in the Hat,
I will show you
Another good game that I know!"
The key word here is dangerous. The Cat in the Hat is dead inside and only ever seconds away from extreme violence.
Green Eggs and Ham I think works well if played a bit like Terry Jones and Eric Idle in the Nudge nudge sketch from Monty Python's Flying Circus, as the guy who doesn't like Green Eggs and Ham, and the person offering the meal.
For Oh The Places You'll Go!, I tend to read it fairly normally until things go bad, then I try for a deep, dark, mellifluous, Christopher Lee style delivery.
I think Horton from Horton Hears a Who probably works best if you play him as a slightly strung-out schizophrenic coming down from a high. But I haven't tried that style of read-through yet.