With white cabinets and a brown counter, you need a color to transition between the two, I would look at beige or dark cream tile colors.
I would match the grout to the color of the tile. Some like to have a grout that matches the counter. In your case it would be a brown. I don't think a brown grout would look good in this case, though.

What about a white tile with a strip of color like Petra (a sometimes poster on this board) did. See link.

Here is a link that might be useful: petra's kitchen

How about white subway and a darker grout (brownish/grey, greige)?

Jonif, what does the rest of the room look like? Does the kitchen open up into the family room? Are you looking for a neutral backsplash or something to bring color into your kitchen? What colors give you joy?

Need more info!

Do you have a close up of the granite? It looks black on my monitor.

msrose! Did you ever finish your backsplash? Did I miss the reveal?

just finished up the tan/brown granite counter top. And the kitchen has a small countertop dividing the dining or eating area. The counter top does look black at night, but it is tan/bronze with little bit of silver flakes in it. My kitchen is not real big. I dont know if i should go with a light beige back splash that would match some of the color in the granite,or go with white subway and use a creamy grout.