Before deciding on a colour, don't forget to consider your kitchen cabinetry, benchtop, splashback, etc (and dining furniture)... for example, if you have a classic hamptons (farmer style) kitchen (and furniture) then don't discount a warm white for the walls... it won't look clinical as the warmth will come from the kitchen cabinetry, etc and dining furniture, e.g. But if you have a "hamptons inspired" look with a slightly more contemporary kitchen cabinetry (and furniture), then in my opinion (all nice options above but a bit too beige'ish for me) so I would suggest a light shade of a warm grey e.g. Whichever way you decide to go, try to narrow it down to 2-3 colours, get the small pot samples and paint each one on all the applicable walls as they will all look different at different angles depending on how they reflect natural daylight and the lights at night time... then you may be able to make a clearer decision. Good luck! :)

I work as a colourist and the easiest method for a upmarket look is to choose an exact colour to match one of the colours in the tile. I would take the tile to a paint shop and get the colourist it match exactly one of the greys in the tile. Make the depth of the colour a light version. All white walls are on the way out. Lappatto tiles usually have some texture as they are semi polished. This is the latest look in tiles as they give a shine without the maintenance of polished porcelain which had been in. They are usually less slippery than satin or polished tiles depending on the brand.

If you click on a Houzz photo, and then tap on More, you will see the company/pro attached to the project. You can then contact them for specific tile names. Otherwise if it more general info re tile type or pattern layout, then something like Google can help with that.

You can’t go wrong with white. I always suggest match to the wall colour or the trim colour.