I saw this bathroom the other day when I was doing some sourcing at work. It has a similar feel to the bathroom at the Bowery Hotel. This one is at Soho House in London. They both have a clean, relaxed vintage style. I particularly like the tiled floor. I think it would be relatively inexpensive to achieve this look at home.
I would use warm grey tiles to soften the look and give the room a sophisticated elegance. For the floor I would match the grey of the walls and use warm white tiles as the contrast tile in the checked pattern.