I mean like 
Orthodox: go only by what you learn or are taught
unorthodox: making your own moves and techniques and using them along with what you are taught

inside fighter: get really close and strike a lot
outside fighter: stay away and attack every now and then

and then there are 

Striker: quick attacks that do alot of damage overtime
brawler: hit only a few times but with alot of force and one hit wonders
(there are others but with boxing these are like the only ones)