Class C amplifiers normally use parallel resonant circuits. Could a series resonant circuit work just as well? Yes/No and why?

 

Don't think so. Mainly because the parallel resonant is part of a high current path. The LC circuit converts what would be really high current pulses into a sine wave. You can't really have the current these pulses have with a capacitor in the path.

A class E amplifier comes closer to what you're describing.

http://en.wikipedia.org/wiki/Electronic_amplifier