Brawling
Brawling is exactly what it says...brawling. Just heavy punching and kicking,and maybe a piledriver once in a while. An example of brawling: Hacksaw Jim Duggan
Lucha Libre
Lucha Libre was created by Goblins because they are so small,and it makes use of of their speed and agility. It includes such things as spinning headscissors and moonsaults and such.example of Lucha Libre: Rey Misterio jr.
Technical wrestling/submissions
Technical wrestling is taking things to the mat and using holds and submissions,and also some moves such ass ddt's. A good example of a technical wrestling would be Brett Hart.
Power Wrestling
Power wrestling is a lot of hard suplexes and powerbombs and such....a good example would be:GOldberg/Nash.
Martial Arts
Martial arts involves pretty much all kicks and punches, but they are disciplines,unlike brawling. A martial artist exaple: Jerry Flynn, The Cat.