The anthology contains short stories including, "The Enchanted Village" by A E Van Vogt, "All Summer in a Day", by Ray Bradbury, "And He Built a Crooked House", by Heinlein (?), and other great stories, including a story about a political (?) prisoner who escapes and has a chip in his head, and is helped by a doctor while hitch-hiking. The book has a red and blue cover (mostly red, I think). I read it as a kid in the 70's and would love to find it again to reread.
I think you are looking for the anthology Science Fiction, published in 1973 and edited by Sylvia Brodkin and Elizabeth Pearson. According to isfdb, it has a mostly-red cover with some blue, and contains the van Vogt and Heinlein stories you mention. However, it does not contain that Bradbury; the one it does have is "A Sound Of Thunder".