If you can store your mattress(?) elsewhere, and move the fridge a few inches to the right (but make sure the door will still open far enough to remove crispers for cleaning), you can add a shallow side-loading cabinet to the other side. Perfectly convenient for storing china, or use as a pantry. Then add a cabinet above the fridge for larger pieces or extra storage space, and a narrow pullout to the right. Might not be as inexpensive as you'd hoped, but it would be efficient and attractive.

DIY for narrow pantry pull-out.

Is this good China only used occasionally and could be stored in dining room? If they have to be handy, do you have a narrow empty wall? I have a narrow pine cabinet from Ikea that was really inexpensive (which I painted) and it’s amazing how much it can accommodate. I use these items frequently, so it‘s nice to have easy accessibility. If you use often, storage could be a pain above the fridge.

I would get some full depth shelving above the RF with door or without, paint/stain it to match existing cabinets.

If you are able to source a used window about the same width as fridge, the look in attached photo could be achieved. Notice hinges are on top.
https://www.houzz.com/photos/maria-and-jim-s-adventurous-victorian-eclectic-kitchen-portland-phvw-vp~9387638

I had my kitchen redone with a big cabinet put in over my fridge. I store tons of stuff in there. Newly found space❣️ The above picture with the 2 shelf cubby above the fridge is a great idea for you❣️

I bought a simple closed cabinet, and put it next to my fridge- all China goes in there. However, if you want to store it on top of fridge, buy those mesh picnic plates covers and put them in there then on top of fridge to protect them from dust.