Love the tile on left. I agree that the one on the right could be used above the stove as an accent.

I think the one on the right would be striking, but it's hard to say without seeing the full space.

what do floors and cabinets look like?

Right side, pending grout color

I like the one on the right, quite effective or you could combine the both

Left, because I prefer less grout, and the backsplash adds enough interest.

I vote for the tile on the left. Simple, less grout, and it compliments the counters. The right tile is very busy.

left, possible use of right as an accent above the stove

It really does depend on how much space overall you need to fill, what the cabinet & floor design has going on, pull design, and overall feel of your kitchen and house. That being said, SRD designs comment to combine both sounds absolutely fabulous. By themselves, one is uninteresting and another is too busy. Combine the two and you could probably even make a designed edge out of the solid linear tile, perhaps by cutting it in half lengthwise and mitering corners.

You could combine the both of them, depending on the area to be tiled.

The left is much nicer scale with your granite pattern. You only need ONE star in a show. I wouldn't mind seeing a lighter shade either, but in any case, match the grout to the tile : )

Love the. Both. But the subway tile is a classic, especially against your counter top. The smaller pattern could be distracting...consider making the counter the star attraction. Maybe use the smaller over the cooktop of you have the space to do a detail

Your countertop does not seem especially loud to me. Could you take a pic from further away? I like the one on the right.

The one on the right is a lot busier. Would need a picture of the whole kitchen to know whether a busy backsplash is a good thing but the one of the left is the safer pick.

Both are nice, but I prefer the left one. The size of the hex tile seems to small..maybe if the tile would have been in a larger size.