Cosplaying as characters of a extraordinary gender is now and again referred to as crossplay.    Genshin Impact Costume   
For instance, in British anime fandom there is a longstanding culture of men crossplaying girl characters, both in masquerade and as ground dress. 

This is frequently carried out as a comedic or parodic overall performance, but occasionally as a critical illustration of a female individual.  Cosplay Costume    There also are a number of male Lolita dressers inside British fandom.