Trap, skeet, sporting clays, five stand, steel, bowling pins, bullseye...
I used to use the term “the point is to destroy what you are shooting” - but then spent some time shooting at steel targets! For my kids, did use some old fruit when they were first starting out - just to drive home how important it is to follow good safety rules.
The first time my young daughter ever fired a shotgun she followed all the rules. The instructor was very impressed with her keeping her finger off the trigger until ready to fire.
“Did your dad teach you that?”
“Yeah - with the BB gun. But he also points it out on TV every time the guy has his finger on the trigger!” (The second item I think annoyed her!)