  We consider the most accurate tests of bound state QED, precision theory of
simple atoms, related to the hyperfine splitting in light hydrogen-like atoms.
We discuss the HFS interval of the 1s state in muonium and positronium and of
the 2s state in hydrogen, deuterium and helium-3 ion. We summarize their QED
theory and pay attention to involved effects of strong interactions. We also
consider recent optical measurements of the 2s HFS interval in hydrogen and
deuterium.
