If you're a musical family it would be a great spot for a baby grand piano.

Corner not so visible - maybe something whimsical or unusual? This poly rug caught my eye!

https://www.houzz.com/products/monaco-moa-1-multi-rug-multi-5x8-prvw-vr~105356599

From here, I count more tiles going across photo - square, 5x8? This cotton navy is so neutral, and more interesting imo than black/ivory... I love a papason, large or small. Corner comfort.

[https://www.houzz.com/products/safavieh-cer-flatweave-rug-navy-6x6-square-prvw-vr~43195806[(https://www.houzz.com/products/safavieh-cer-flatweave-rug-navy-6x6-square-prvw-vr~43195806)

On your walls now - I like less contrast so they 'show' better:

https://www.houzz.com/products/jude-hand-woven-rug-natural-blue-5x8-prvw-vr~69965818

Not sure what you need? Could do a table and chair for a work station or two chairs with a end table between for a reading area.

Following...

I can see the sax in the back. If you are a musician, I can see some gear inside a shadow box or photos turned into posters with some can lights shining down to attract attention to that corner.

Is there a question?

Thank you. The sax is in the den and the piano (upright) is on the other side of that wall. Attaching a couple of pictures that might better show where the corner is situated.

Well, you're missing two chairs in your TV room area to finish that seating arrangement. And then I would probably use that space as a bar area. I would get a sideboard type piece of furniture and decorate the top of it like a bar.

Still unclear on the question...

Do you want to furnish it, decorate it, make it part of the living room, use it for some other purpose???

What bugs you about "A corner between den and kitchen"?

Not in your post, but a rug that lines up with tv unit would seem balanced, and also soften....probably wider than unit?

This:

http://www.craftsmanbb.com/well-organizer-corner-desk-with-storage/l-shaped-corner-desk-wood/

how about a reading corner.

Yes. Thank you all for your comments and suggestions. I'm looking into a rug and making this a reading corner.

I see a games table or comfy chair with small table a reading lamp.

i can find others, do these appeal?

you can put your tea on it or your feet and you can store your blanky and pillow in it.