These days there is no such thing as me minding my own business. I mostly enjoy it - not many people go out of their way to say they disapprove of my [green] hair, but plenty of them tell me they dig it. A few people, perhaps struck dumb by my stylishness, can only manage "Hey! Ayyy, green!" - sometimes I smile and wave, other times I tell them I already knew about that. I think looking unusual makes people more willing to approach me. People on the bus, on the street, in the hallway at work, at jiujitsu class, at the park, and at the grocery store all have an opinion. Everybody on the street normally (when my hair is brown) just avoids eye contact. In some ways, this is a lot better.
I recently had to send in a businesslike picture of myself, and I sent that one . . . after converting it to black and white.