Erm, I think you're confusing the GEMA with the GEZ, which would be the equivalent of the British TV licenses, i.e. your fee for state-run broadcasts. Not aware of any equivalents in the US, things like C-Span, PBS and NPR are more independent if I'm not mistaken.
The GEMA is something entirely different, about as capitalistic as you can get get. And so to no surprise there are equivalents in the US, e.g. BMI and the Harry Fox Agency.
