I'd put in a tile backsplash. Stick with a solid color tile so your bottles won't get visually lost. Solid color doesn't have to be boring, look for interesting shapes or textures, and play around with different colors of grout to make a statement. The one in your picture looks very similar to the 2nd picture below.

The backsplash near the hob should preferably not be glass as the heat produced near the stove causes the glass to break due to continuous heating and cooling which makes the glass crack over a few months... Pavithra Praveen Pravisree Kitchens Bangalore

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

SUBWAY TILE BACKSPLASHES With an aesthetic that is both classic and modern, bathroom and kitchen subway tile is one of the most popular trends on the market. its universal appeal stems from its simplistic design with plain color with punch design  and an easy to clean, durable surface that reflects light to brighten your kitchen or bathroom. Traditional subway tile with different design and color