Three big differences are here:
1) Man and woman are male and female who also belong
to the human species, that in remote times evolved from
a male and female of some ape species.
2) only man and woman are capable of using a cell phone
3) only man occasionally prefers drinking beer and
watching TV to the company of his female companion.
Maybe a fourth is also worth to be accounted for:
4) only man occasionally firmly believes in peaceful supernatural
beings in the name of which titanic wars are perpetrated leading to
apocalyptical death and also destruction of temples dedicated
to those above cited beings.
other males sometimes have soon-to-be-settled arguments
related to the fair sharing of fruits or the right to mate
with a particular female
A not so minor difference:
a) a not-so-small percentage of men and women fight
every day against their habit of eating food in EXCESSIVE quantities, and a different, but big percentage of men and women fight every hour
against severe SHORTAGE of food supply;
maybe they could join their efforts with probable interesting results.