When it comes to gender equality discussion, both side seems to always accuse the other of bad science. To mention a few:

The effect of estrogen on emotional stability.

The effect of testosterone on violence and crime.

The pay gap in respect to unadjusted versus adjusted data.

Blind audition and p values.

Domestic violence statistics and reported rate of abuse.

If there is a neurobiological change in victims of sexual assault.

Sexsomnia and how common it is.

Campus rape statistics and if its one-quarter of all college girls.