I just a navy blue vanity in my bathroom with gray tile. Love it

i like the navy blue or the sky blue, or the blue artico

You're not going to know for sure if you have something that works until you see it in person, so if you're ordering online make sure you can return it (although return shipping can be expensive). If you're ordering from a retail location, bring home a sample door and look at it next to your tile selections in your lighting. Store lighting is florescent or LED which will probably not be the same as the lighting in your home. Grays can have a lot of different undertones, and so do blues. The right combination will be awesome, but if you have clashing undertones it might bother you forever.

Thanks  Our bathroom is small.  Don't know if navy blue will be to overpowering.  Than

i think the blue artico or sky blue will work best

Personally, I would do a white vanity and put one of those blues on the wall.