>>747172greco and freestyle are rule sets with different point systems forcing them to branch off and evolve different techniques.
in greco you can't grab the leg so its evolved its skill set with a lot of upper body throws.
freestyle is simiar to folk style lots of shots (double leg and single leg shots)but there is a limit on how long you can keep certain grips (which is why there's a drift away from upper body clinch throws like greco)
catch wrestling is the ancestor of a lot of wrestling styles but is nearly extinct and seldom taught commonly. it involves a lot of submission locks that twist and contort people's body, and limbs
shoot wrestling can be looked at several ways, shoots is an aspect of pro wrasslin where a certain story line or gimmick or promo is off script and hit on reality instead of the plot.
Shoot fighting is a derivate of MMA, but has influences from catch and pro wrestling.