I want to improve my reading and grammar skills by finding interesting things to read. What graded readers, basic textbooks, magazines, and other reading materials are available for adult students who can recognize the first 1,000 words from the HSK? I would prefer material which includes a CD or MP3 files, but without is okay too.
You can try 读者 which is like Reader's Digest. I don't know if one with 1000 words can understand every article in it, but I think you can find some interesting essays.
Anna mei Banfa! (an early level 2 reader) may be excruciatingly repetitious, but it's a good way to pound those most frequent characters into your head. It's used in high school classes in the US. Make it a bit more interesting by making up a parallel story in your mind about another girl who's a lot more interesting (using the same vocab, or looking up just a few more "colorful" expressions!)