I've shot a fair representation of the various games mentioned,...but if you haven't tried FITASC[some call it 'international sporting clays'] , you haven't shot a thing yet,IMHO. Compared to FITASC, everything else is just plinking.....
Airborne targets of 5 different sizes[plus 'rabbits' on the ground] from 1 to 60 yards, from 1 to 100 mph. Thrown in singles and in pairs. EVERY course is different, and you never shoot the same presentation twice on any given course!
I love all shooting sports, and compete[or have] in quite a few, FITASC is just the best for me that I've found yet!