How can I decorate the recessed area?

I'm not sure exactly what you are looking for, but here are a few thoughts: You could paint the arched areas, but what about stenciling or wallpaper for the arched walls to really make them stand out? Also, I would do similar themes in both of the arches. For instance, if you leave the vase, what about botanical prints in the other arch? Or what about finding interesting different but coordinating metal pieces. Whatever you choose, just time them together. I do think a bench with a couple of woven baskets under it would be pretty--maybe hang some large flat baskets on the other arched wall.

add boards,wood,grass cloth to recessed areas

Large art pieces. Tapestries. You could do a simple rectangle of trim in each space painted in a coordinating color. These will be your frames for what ever you put on the walls.

Since it's right next to your kitchen you could do something related to cooking or food. Giant pictures of veggies, like Georgia O'keeffe. Or cups. It's going to depend on your taste.

Even though the wall spaces are slightly recessed, they are not deep enough to take away the flatness of the wall. In my opinion, the wall needs decor that makes it look deeper/more 3D. What about wallpaper murals?

Gloria,

If you could post another picture backed up so see more of the room that would be great. I like the idea of a bench especially if it is by the entryway. Besides art you could add planks or shiplap it. If it is really close to the front door you could add some hooks to hang jackets, purses etc for guests.

I love those, paint the inside a focal point color from a color from pillows from you living room then add a very narrow console table (wayfair) and add two grille planels over each other (hobby lobby, Kirkland’s) , then the other recessed wall just add one long wall grill, this will bri g the look your looking for. If you find a cell sole and it not the right color just spray paint it. I choose this look because of the counter top that was in view of the photo it appears the kitchen it itaion style. I hope this was of some help for you. I’m a decorator and I always say buy bring it home hang it andif it doesn’t work return.

Actually I don't think they need any kind of decor. They are an architectural element and could stand alone. Painting them a slightly lighter shade of the wall color would probably look good.

But if you decorate them the two spaces need to coordinate. Right now they are completely different. So for instance, you could have one large piece of art in each with matching colors and subjects. Or one space could have two pieces of art, one above the other, that would take up the same size area as one larger piece in the other space, again with the same colors and similar subjects.

You could paint or wallpaper both recessed walls. Add a bench in each space and add a painting above each bench. A simple but eye catching solution

You seem not to like these areas, but they add architectural interest to the space.

The decorations you hang in these areas should be complementary, whatever you hang.

You can leave the mismatched frames, I would just move the lower right one to the left and the lower left one to the right to balance them out, If you have somewhere else to put it, perhaps have pictures on both walls. Perhaps put wainscoting on the walls and use a color slightly darker or lighter.

I would suggest a nice body length framed mirror. It will reflect light to brighten up your space, make your space look bigger and also it means you can check your hair and outfits head to toe before you head out the door. Also some large pieces of art, you can do paintings or metal work. Check out Etsy for some unique stuff.