Thousands of options for you to choose from. What look are you going for? What is in the rest of the kitchen/house? Is it an open or closed kitchen? Is the only place for a backsplash what you show in the photo?

You can do a search on Houzz for "black cabinets kitchens" and see what pops up. Then isolate the ones you like with a backsplash you like. Then go to a tile store and bring home samples to view in your room.

Here's a start, I got these in under 3 minutes:

Patterned tile:

Black Modern Farmhouse Kitchen · More Info

Marble rectangles:

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White rectangles with herringbone over range:

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Modern stacked white rectangles:

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Marble slab:

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3 x 6 Carrara marble:

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Are you planning to do tile just under the cabinets or extend them around the sink?

Can you share a photo of the rest of the space?

Based on your photo, you are going to have to address the elephant in the room which is the red oak shutter. Is there more red oak or brown in any part of the kitchen or in an open space next to the kitchen?

I would choose a tile that is close to the color of your countertop. I agree with deegw, the shutters are really out of place. Unless they relate to something else nearby you should paint them white or replace them with something else. I think painting them would be challenging since they're not a flat surface, so replacing them and painting the window trim is probably a better way to go.

Agree with a tile color close to countertops...simple subway, solid color. Also agree the shutter color doesn’t fit.

Here is a photo of the other side of the kitchen. The shutters are installed throughout the rest of the first floor of the house. They are okay in the other rooms because we have white walls and the same floor tile throughout. I agree they do not work in the kitchen though. In addition to being right beside the dark cabinets, they can't be opened because of the tall faucet. I would like to remove these shutters (leaving the rest in place), but I will have to sell my husband on the idea. He likes the shutters more than I do.

If anyone would like to add thoughts on window treatments as well as backsplash ideas, I would appreciate the input. It will help me convince my husband to replace the shutters over the kitchen sink. (We live in Phoenix, so window treatments that provide heat control are particularly valuable; no blackout needed or desirable in this room.) Thanks for the suggestions so far.

We have (white) shutters throughout our house, including the kitchen windows. We love them but deegw’s suggestion of a Roman shade would be a better fit in this case.

https://www.wayfair.com/home-improvement/pdp/bond-tile-canu-59-in-x-1181-in-polished-fluted-ceramic-subway-wall-tile-968-sq-ft-case-sost5672.html?piid=87284831

You have a beautiful cool toned kitchen with a rich deep chocolate color that looks lovely with those counters and those wonderful floors. My monitor is making the red warm wood shutters look off. As though the color is fighting with the dark chocolate. And the chocolate is winning this war. But... I do see a few orangey brown flexs in the 2nd photo you posted. So maybe it could work.

Do you love the shutter? If you do, you may want a backsplash with a bit more of that warm red orange color to bring the elements together. If you do not, you could paint it or buy a new window covering.

Okay back to fun tile options for your lovely space.

White tile with a hint of orange red might go with the shutter

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There are many tile options that you could choose from to go with all the choices you have made so far. We have included a few pictures of kitchens we have designed for clients below. We think looking at them might help you choose a backsplash.

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Hampton Boathouses · More Info

As others have mentioned, consider painting the shutters to match your wall color.

As for the backsplash, there’s a fine line between choosing a tile that works with your floor choice and choosing a tile that matches your floors. I would not choose marble. The fact that your counter material is quiet means you can make a statement with the backsplash, although with the floors it can’t be too loud of a statement. The thing is, you don’t want to walk into that space and have your floor tile be the most interesting thing about it.

Consider using an interesting shape in a corresponding neutral (or not) color, or possibly, now stay with me here, using an organized linear pattern to play off of the random linear pattern on the floor. Images below are Fireclay Tile in Star and Cross, and hand painted tile in the Diamond Contour pattern

The shutters stand out a lot, so unless integrating that color more, try painting them white. Then you could easily do the countertops as a backsplash, or a white subway tile, or a small patterned tile. Here are a few ideas for you from various kitchen designs of ours.

Grand Culinary Manor · More Info

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University Park Open Concept Kitchen Great Room Remodel · More Info

why would your husband want to keep a shutter that doesnt function because the faucet is in the way?

Is your kitchen open to the rest of the house? Do you have a whole-house color scheme? I happen to be drooling over your chocolate cabinets. It's "my neutral". So many of my favorite colors go with chocolate: French blue, Delft blue, cocoa-taupe, silver grey, evergreen, navy, aubergine, purple, Coca Cola red. Are any of these in your adjacent spaces? Are any of these colors you like?

Did you recently install the white quartz counter? They create more than enough contrast with the cabinets. Maybe tie them together with a mid-tone. Here's an example with chocolate cabinets and mid-tone s.

Is your style contemporary? MCM? Transitional?

Country contemporary Kitchen · More Info

I think your floor and dark cabinets are very beautiful and interesting. I would go with a plain white (or whichever shade of cream, ivory, white, alabaster) that works with your countertop - but in an interesting pattern. I love the ones posted by Boxerpal, Diana and Annette that use matching light grout but the white tiles are not ordinary. They give texture but don’t compete with the overall feel of your kitchen - which is sleek and very “clean”.