In BMX bikes there isn't much to choose from, they're almost all use 20" wheels, which means that there isn't much difference in frame size either. Since they're mostly ridden out of the saddle it isn't much of a problem either.
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The HUGE majority of BMX bikes all use the same 20-inch wheels, which makes the frames very similar in size.
20" - 20.75" should be about right, a 16 or 18" BMX would probably be too small, and besides they will keep growing!
All real MBXes have the same wheel size (20"), so frames tends to be very similar in size too. As bmx bikes mainly are ridden standing up frame size doesn't matter much.