What color walls look good with tan baseboards and tan tile.

What is you decorating style?Choosing paint color is truly ones own preference.Browse different websites on painting to get you started on selecting a color.Behr.com,Sherwood Williams...they have color inspiration ideas for all.

I think the blue family looks good with tan.

It will depend on the look you are hoping to achieve in the end. A cream color would look nice if you are looking for a more open calming feel. With this combination of a neutral palette you can than easily change the look of the room by simply changing the accent colors in the room.

I know white is stark, but it's really in right now and adds a nice contrast. Blues, warm tones, and here is a link to some thoughts. http://www.bhg.com/decorating/color/neutrals/colors-that-go-with-brown/, good luck

Colors in the blue or green family definitely would!

Blue

White or you can do a nice dark teal or Maroon. Depends on the size/area of the room.

Why not paint the baseboards white? I have tan tile, saving money to re-do the floors, but I have white baseboards and grey walls.

Tan is a nice neutral. Depending on you likes and dislikes you could do dark chocolate brown, burnt oranges, muted blues, even white.

The first colors I think of to go with tan would be green or peach.