Exotics, from what I've seen, are nearly the most dangerous character types in the cyberpunk universe. The only thing worse is a ten foot tall psychopathic dragoon.
I have read a lot about exotics, and thought it was rather entruiging. Bio-sculpting humans with animal features only proves that in 2020 God is dead. Either that or he's on vacation.
In order to become an exotic one must first have money, lots and lots of money. You also must know what species of animal you would like to cross dress as, for the rest of your life. The creators of cyberpunk have given you a small selection of choices. However, you can always design your own. Below I have a list of some of the possibilities. These can all be found in greater detail, in Chrome Book 3.