There are so many different type of light modifiers ad boxes out there in the market today. Each have their own pros and cons. It is also a very subjective matter as to what looks good and what does not.
A list of the general types of light modifiers out there:
Umbrellas
Soft box
Strip box
Beauty dish
Bowl reflectors
Ring light
Snoot
Grids
Gels
Very informative article we found regarding light modifiers on portrait shots!
https://petapixel.com/2016/05/11/different-light-modifiers-studio-portraits/
