Oh yeah I reread books a lot, especially as a kid. I can't tell you how many times I re-read books by Road Dhal (loved Charlie and the Chocolate Factory) and re-read the Catwings series--shoutouts to Catwings. And then, once Harry Potter came out, I re-read that series so much I still remember exactly where in what book certain lines are from. Terry Pratchett is another author I re-read several times a year, because he had so many books it's kind of impossible to memorize them. Same with Douglas Addams--Hitchhiker's guide had several different versions, and so you can pick and choose which you want to read. Agatha Christie books are a good read to have in your bag, too (even when you know the murderer, I love Hercule Poirot)
I re-read classics a lot, too, like Shakespeare, the Odyssey, stuff that I feel like I'm starting to forget. I like to revisit Jane Austen quite often because Persuasion is the best. Also, the last book I re-read was Hunchback of Notre Dame, which is my favorite book so I like coming back to that one. Just a master of words.
I feel like when I read through them again, it helps me analyze the way they formed stories and the way they used words--it's really helpful in wanting to be a better writer.