I think you can get a haircut like that from 1970's
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Talianna in Melbourne Plaza will get you this exact same haircut. They even do straight razor blade shaves. Another place to try is the barbershop at the Fleet Arcade.
When we were kids, we'd part out hair like that and pull our pants up to our nipples and we laughed our asses off every time.
After much experimentation with expensive salons and cheaper options....I decided that any Chinese barber views pleading to not have the usual local 'hight and tight' cut as a challenge. It's a total lottery either way so I just go to QB house, 50 bucks, in and out in 5 minutes, then tidy up at home.
Do what I do, trim at home, 5 mins with no cost. Only investment, a good trimmer.
P.s. it's actually mrs gunsnroses who trims my head.