For 2k your best bet is an ikea hack storage unit.
Custom shelving will be boatloads more.

Honestly. I’d just do some diy ship lap or molding and maybe a faux fireplace or something

This could probably be accomplished using stock bookcases with some molding added on.

Dark brown built-in entertainment center · More Info

Shaker Style Built-In Media Center · More Info

Traditional Living Room · More Info

How about an electric fireplace, with horizontal paneling, art, etc?

You don't need to find the perfect built-in or store furniture right now, if you are not ready. We had great success mounting a 75" TV on an arm-hanger (installed by the TV guys) on the wall at the proper viewing height. We are currently using a large old dresser underneath it to serve as furniture for the time being. The dresser is actually large and sturdy enough to hold the TV, but this way, the dresser surface can be used.

You can then choose a console or other type table to put against the wall underneath, without wasting surface space or considering how well it would hold a TV.

We did a built-in wall unit with a Samsung Frame TV, but there are lots of ways to accomplish something similar. Have you looked through the thousands of Houzz photos to get some ideas? Put "family room" in the search bar at the top/middle of the page. Then select "family room in Photos" and you will get thousands of photos. Save the ones you like to an Ideabook.

Mount the tv on the wall and get a larger console. Or you could do something fun with an electric fireplace.

Looks like your room could accommodate a larger TV. Maybe consider an electric fireplace.

Some option to go with shelving

Or check out TV unit at Best Buy on sale just for $245. You can get couple for your wall.

https://www.bestbuy.com/site/camden-wells-tillman-tv-stand-for-most-tvs-up-to-75-white/6516673.p

or https://www.amazon.com/Furnicare-Century-Entertainment-Drawers-Console/dp/B0CRGVPWGP/ref=asc_df_B0BQWPS2HG/

Or Besta from IKEA

Shelving https://www.homedepot.com/p/Nathan-James-Theo-Dark-Walnut-Brown-5-Shelf-Ladder-Bookcase-or-Bookshelf-with-Black-Metal-Frame-Set-Of-2-65501-2/324032131

https://www.walmart.com/ip/HMOREY-6-Tiers-Modern-Ladder-Bookshelf-Wall-Mount-Bookcase-White/1640485308

Candle holders https://www.amazon.com/Candlestick-Candelabra-Vintage-Candlelight-Candleholder/dp/B0C6DM9D5G

If it's a wall unit you're looking for, take a look at Ikea's Besta Series. They offer several finishes (some are wood) and several combination options as well. Well made... well priced!

I'm showing all white below but as mentioned, lots more options available.

Don't spend your money on assembling an 'entertainment wall'. Their time has come and gone. They are practically giving them away on Craigslist in my area.

Surround it with plants and cheap arched lamps from Amazon. This is what I did and it doesn't look bad. I already had too many plants anyway and my living room doesn't receive tons of natural light, so the lamps are both functional and pretty to look at.

You mentioned bookcases and art, but consideration should be given as to what you will be displaying, ie: will there be lots of books/and can they be hidden. I’d keep it simple and buy a suitable base and have a carpenter custom the shelves to meet your needs. Idea below provides storage and options on how you can display art, books and collectables in a modern, paired down way. .

https://www.yeerole.com/products/retractable-tv-stand-wood-media-console?variant=42869804204185