For a typical example of an average stunt person's skills check out Paul Heasman's Profile at his site. He is experienced at archery, horse riding, climbing, abseiling, jet skiing, snow skiing, boxing, fencing, motorbike riding, etc. He has stunt experience at performing stair falls, high falls, precision driving, car crashes, car rolls, explosions, fights, etc. He has used a wide range of equipment including fire gear, air rams, jerk harnesses, fan descenders (for high falls), etc. That is the kind of skill and experience level an aspiring stunt person needs to try and get to.

In New Zealand there is currently no legal requirement for a stunt person to have specific skills, but to join the NZ Stunt Guild you must pass certain high levels in four or more areas out of fighting, horses, motorcycles, gymnastics,  cars, rock climbing, swimming, high diving, sub aqua, white water, and parachuting. Full details are at the NZ Stunt Guild website.

Some knowledge of maths, physics, and mechanics is an advantage. Learn about the film/TV industry.  Improve your people skills. You have to learn to get along with many people in a working day, often for long hours under arduous conditions. You need to be diplomatic but firm when somebody is trying to get you to do a stunt or fight scene in an unsafe way.

A stunt coordinator has usually had years of experience as a stunt person beforehand. They are responsible for the safety of stunt people, extras, crew, and equipment. They need to have even better people skills and management/planning skills than a stunt person. They also need a good knowledge of camerawork, editing, directing, acting, etc. in order to do their job properly.

Fight choreography specialists need excellent people skills as they work closely with actors. Also needed:  a wide range of fight/combat skills including several martial arts (recommended:  judo, karate, kung fu, boxing and one of the following: capoiera, ju-jitsu, aikido), weapons training (fencing/rapier, medieval long sword, pole/bo/staff, etc.), and stage combat training.

Specializing only in fight choreography will limit your work chances. Probably about 50%  of film/TV work is fights (the remainder is split between vehicle stunts, various falls, and miscellaneous stunts like fire, crashing through windows, etc.). There is additional fight choreography work for plays, renaissance fairs, and other live productions, though.