Left Behind DLC should've had no combat and just running away.
But I'd definitely play games with no combat, puzzle games are a good example. And as you mentioned obvious sports games.
And also racing games.
There's only 2 races: White and 'Political Agenda'
2 Genders: Male and 'Political Agenda'
2 Hairstyles for female characters: Long and 'Political Agenda'
2 Sexualities: Straight and 'Political Agenda'