Good sboxes

Excuse me for opening a similar topic, but I'd like to get the answer
(without having to read all the comments on trolls, etc.). So the
questions:

What are the best measures for quality of m:n sboxes? Surelly non-
linearity, number of monomials, what else?

What are the best sboxes known for different values of m and n?

I'd be happy about some pointers to good papers (instead of direct
replies).
.