I remember when the game BRINK (2011) was about to be released (it was buggy and flopped, but looked cool before the release) and it featured a robust character customization system featuring body parts, clothes and accessories. All men.

When asked if there's a story reason there were no women the project leaders just looked nervous and made up excuses about hit boxes and wardrobe limitations..

I (who am funny in the head and have no sense of gender attachment) thought if they just switched the genders, made them all women with a story justification then it would work (we already had a gazillion all-male pvp games, and this one wasn't going to beat TF2 )

Left 4 Dead features Zoey and Borderlands finally added gender balance in The Pre Sequel As HAWP observed, Saints Row 2 and Saints Row, The Third were the big inclusion winners for not only having men and women but could mix and match bodies, voices and clothes to simulate a wide range of trans and enby as well.