I agree about FITASC, very difficult and a challenge.
Two that haven't been mentioned:
ZZ birds- specialized flying targets with a center that pops out if you hit the bird, very difficult. Shot with a shotgun, designed to replace the next game...
Flyers- the original shotgun sport, still practiced where it is legal. This is the BIG money game in shooting, everything else is bush league as far as money goes. Of course, the PETA crowd get real upset about this game, as it uses live pigeons.
Damn!...I need more practice!