All you need is some poster tack; I use it all the time.

https://www.amazon.com/Elmers-Poster-Tack-Reusable-Ounces/dp/B000BKQDB4

I don't care for shelves with pictures although they are trendy right now. Your nice area would look also look good with one very large painting which will give more color. I would also consider a rug in this area unless it would interfere with the door.

What's behind the door? Can you remove it?

I love the pictures and think you already have more than enough wood. There are small pins with an adhesive base that can be adhered to the back of your pictures and the pin pushed into the wall. These will keep your pictures anchored in place....no more straightening needed.

I like the look of the pictures, if your only concern is having to straighten them out, I'd try something like suggested above to keep it in place.

I've thought of using poster tack. Funny enough Ingrid, we had one large picture there for a while before we went this route. The shelves would be for decorative things and maybe one picture leaning.

If I get a new rug for the livingroom, that rug could go to this room. I've already tried it and it isn't in the way of the door.

AuntThelma the door leads out to the attached garage so can't move it.

Still thinking about using shelving like this...

Ditto on the poster tack. I have that on anything on a wall, they also make a white version. If you have trouble with items moving I would not use a shelf. You will then be poster tacking everything to the shelf and it's harder to keep in place. Been there!

I guess maybe I just wanted a change.

What about a mirror and pretty chandelier? Mirrors are heavy enough to resist that bounce-back...

This is the current set-up.

I'd pain the door the color of the wall. Wouldn't usually do that but will work here.

Another vote for sticky/quake putty. I have also used it to hold up tile samples, etc when I am comparing samples for a project. Really helps to stick it up in the space and be able to step back.

If I painted the door the wall color, I guess I would have to paint the door trim too?

No, that wouldn't look good. Open shelving does not belong in a dining room. Hang one large piece of art above the sideboard. And put down an area rug under that table.

A free option - use the rubbery glue that holds an address label on your magazines, or from junk mail. Rubbery bumpers, like the clear ones that protect cabinets, placed on the bottom corners of your pictures will also help hold them in place.

This isn't a typical formal dining room. This room is open to the kitchen on one side and the living room on the other.

Ah, so you really are looking for a change and not for a way to keep these pictures level? As others have said, if your pictures shift because of the door, then the items on your will as well. I have a shelf near our most used door, so i need to be mindful of that vibration issue myself.

If you like to change things up often, you might find a couple of shelves here will meet that need. I would consider carefully whether the live edge shelves work with the rest of your choices, though. Perhaps shelves that are more like your table and console would be less "bossy" in this space. In the example you posted, the shelves take up all the attention and don't leave visual room for anything but a few simple items.

Alternatively, a large piece of art would work here also...a bit smaller than your current arrangement if you want to follow design "rules" and any size you like if you don't care about that. If you want art that will satisfy you for a long time, don't go to a decor store. Try a place like art.com and find something that makes you happy just to look at it. We order posters and prints and use simple frames from Michael's, so I know it isn't necessary to spend a lot to get something wonderful.

(Personally, I don't think mirrors belong where you eat. Do you like to watch yourself chewing?)