actually, to brighten up this dark and small feeling space, i'd look for a creamy base colored stone like khasmir gold or ivory gold, being sure to add an overhang on the island (if you like movement in the stone check out juprana granite) then exchange the pot rack over the island with either a pair of great pendants or a statement chandelier. from my own kitchen remodel experience i'll share you with you this: you'll get a much better price from a granite company then you will from a large home store ;) and be sure to take a cabinet door with you to shop. you can continue the granite onto the wall as a backsplash...they can cut the stone and make it go higher up the wall than the standard 3 inches which can be a great look. but if you really want tile, go for something simple that won't compete with the granite....like a cream colored subway tile. you can apply thim in a running brick pattern or a more modern stacked geometric pattern or even a herringbone. to control staining from food prep, don't use a white grout, use a slightly darker grout color that is inspired from the stone countertop. just remember that using a pattern on the countertop and another pattern on the backsplash can easily become overwhelming and then neither element stands out as the focal point. if you are spending a lot on a granite countertop, do everything you can to make it stand out as the best feature.

Yes they do have similar styles in porcelain, but to me it doesn't look the same. Search around that site and see if any of the other tile designs in other materials strike your fancy. I know you said you don't like the subway, but you could get a glass tile in a 2X8 and lay it in a herringbone or find shorter ones and do a chevron. Don't know if you care for mosaics, or penny rounds, those would also look nice. You are going to have to narrow it down to a look you are drawn to, and then go from there. Search kitchen backsplashes on here to get some ideas as well.

Mukti, From what you described, it seems you need a water softener than a hydrophobic coating. Salt based softeners are good for these issues.

It’s is back painted glass. As a back splash it can be used as it’s easy to clean and maintain. Highly recommended to be toughened. The entire back needs to be cladded in waterproof plywood and then the glass is stuck on to it with special adhesive or silicon gel. Any reservations on using plywood then you can opt for WPC ( wood plastic composite ) which is alternative to play and is totally termite-water proof.