I really, really, really, really want to be a part of a thief, assassin, mugger or raider's story right now. I want to either be a notch on their belt (I usually play pretty transient people) or barely escape with my life or be forced to pay a toll to leave unharmed.
I want to work for a noble who occasionally has to find ways to get rid of a dead hooker in their possession. From my experience most not-busy-every-moment nobles tend to be peaktime-heavy and that's an unreliable time for me. A Templar would work too, they tend to play at times other than peak as well as peak, but they are exempt from the laws of the city so there isn't that thrill from the potential to be caught.
Rare, but acceptable colors and hair textures. For example, ebon-black skin, grey skin (which I did once, and which at the time I didn't consider a mutation, but now am on the fence about if it is), blood-red hair, the various kinds of blonde and orange hair that are specific such as red-tinged blonde and orange-blonde. Heterochromia, being born with two different eye colors. Or both eyes are brown, but a third of one eye is green, this also happens, but may be considered a mild mutation in the game.
Soft black, stark black, the night-haired woman, the drov-haired man. Using 'preferable' words in your sdesc: blood, moon, rose, sand, dune, desert, obsidian.
Unremarkable mutations: a man who can't grow facial hair, a woman born without their left hand (be warned before doing this one: I tried this, some employers won't take you for a martial occupation with one hand), a woman born without their right pinkie.
Something truly horrific: hooves for feet. I still remember the horned, tailed elf who was red and black all over and got a lot of negative attention. Starting in Allanak, surviving for a while with a few hostile social encounters, and then moving to Storm for your health, before they decide to lynch you for existing.