I got a request from Fred in Des Moines for some ideas- he has a customer who wants a retro bathroom without black. I would suggest using our white subway tiles with either some glass or ceramic mosaics to infuse some color. Also- our glass subway tiles would be perfect for this! Just add a white hex floor- and you'll have a cool retro look.
If you want to simply use white subway on the walls and a white hex on the floor, Sherwin Wiilliams has a great "retro" paint color pallette to compliment the clean white (available at any Sherwin Williams store):
Here are some other ideas "sans black":