I assume you don't have another place for these things. I know how that goes! See if you can find an armoire to stick in there. Shelves won't help because you want to hide stuff, not just get it off the chairs. If you want to be cheap, the old tube-TV/entertainment system armoires that people are dumping now are great for large storage because they are deep--see if any are around on Craigslist or FB Marketplace.

You'll have to rearrange a few things, but you simply need more storage. (Is it possible that an armoire or other cabinet could be put in another room and draw the clutter over there?)

I agree. I'd get rid of the open shelving and find closed cabinetry. As suggested, you can probably find something nice used but if not Ikea has all sorts of nice-looking, affordable storage pieces.

Another thought . . . do you have a garage? If so, that's usually a good place to create storage, both open and closed.

Floating shelves and open storage units like yours are primarily for decorative purposes and not for storage and organization. Open storage can be used for organization in a mudroom, but if you want this to look and function as a dining room, the storage will have to be mostly closed.

If you have the budget for new furniture, sell what you have and get something more substantial with cabinets and drawers. The one pictured below is Ikea's Hauga Storage combination. You could even scour Facebook Marketplace and Craigslist for some furniture to repurpose.

A larger dining room table would allow all your chairs to go under it. Then you could put your lamp in the corner.

Your dilemma is more than organizing. You have stuff in the dining room that doesn't belong in a dining room, regardless of storage. Do you have a basement?

It's hard to say what "belongs" and "doesn't belong" in a room like a dining room, depending upon its use and location in the house. In the houses of my plan the dining room and the entry are really the same room, the basement door is either in or right off the dining room and there is No access to the back yard except through the house. So most of the houses of my plan there is a bicycle in there in good weather and a recycling bin in bad weather because people don't want to track or carry every single thing through the living room and out the back. Or down the basement stairs and up every day.

That said I am making my dining room smaller by adding a closet, because on an every day basis we need that more than we need a bigger dining room but I dont want stuff out everywhere. And it will still have a bike in it in the summer so no rug.

Begin by getting some boxes and labeling them Keep, Toss, Donate. Then begin to eliminate all hand-holdable items from the area that do not relate to dining. The items should go to one of the boxes. Open shelves are not going to help with your clutter issues; remove the two tall shelves, turn your table the other direction and put the buffet where the two shelves are now. Then take more photos and post again for further help.

HU started a new post on same topic

update- dining room organization (houzz.com)