How about something like this? The center portions slide.

I am not sure there is a way to close off the rooms on occasion without blocking the view. Glass pocket doors, french doors or curtains on a track are some options.

Do you know what those black glass doors are called? I saw them somewhere else too but am not sure where to find them to buy,

https://raydoor.com/

I took a screenshot of the doors and used Google lens to find this link. They have lots of different styles of sliding doors and walls. I saved the site for a special space in my own home, so thanks!

Regarding the black doors -

https://www.marvin.com/products/collections/elevate/bi-fold-door?gclid=CjwKCAjwgZCoBhBnEiwAz35Rwi5zIiIP0UTt2Nib_yvAD8iKXT1leFw0pqoIe6doSghcZsidD95OrBoCqEgQAvD_BwE

Depending upon your style, a wall of white glass french doors or wooden glass doors would look beautiful. With panes delineated or not. Same format…two fixed at either end and two swinging.

Love the iron doors suggested by Mrs. S but for a true separation I think a pair of large sliding barn doors would accomplish what you want.

Glass doors can be iron black, white, wood, etc. As you’re shopping the look you want, think about the decor inside the house. Any of these will accomplish an “open feel” and cut out noise, but they sure don’t all fit every house.

Do you want to open up the two spaces to each other at times? Then stationery sides with two internal working doors won’t do it.

Lots of options but consider your lifestyle and the use of the two rooms.

I don't know what style your house is, but here are two pictures I already had saved.

Glass doors and transoms divide the space but keep the rooms light and bright · More Info

Rocky Ledge Dining Room · More Info

" I also don't want to significantly take away from my formal living room space with french doors. "

Your kind of stuck I am afraid. What about closing tehe opeing in and just haveing it be 6' wide. Kind of kills the semi-open concept you wanted but so would doors.

I dont really understand 2 living spaces right next to eachother - separation by rooms seems best, but in this case i’d definitely want some sort of door! we have bifold french doors between living and dining rooms. they don’t take up much space - not great sound insulation but a little…. the sliding glass doors look lovely!

I am also perplexed by these 2 rooms being in essentially the same space. In my imagination, living room and family room have opposite vibes, quiet vs noisy, media focused vs not, adult focused vs kid focused, etc. thinking in detail about how you’ll use these spaces may help solve this dilemma. The glass doors look pretty but can also create a fishbowl effect that some find unpleasant. Not much noise abatement either I’d imagine.

I found a company who custom designs these 4 panel bypass interior doors. I have a six light front door, and also a mudroom door that’s visible from my living rooms. Which door style would you all recommend for the interior doors (6 light or 3 light doors)?

@Jenna that's great! I'm so glad you found a door solution you can make a reality! Bothe your doors have rectangular "lights" of similar dimensions, even though the number is different. So I think the door option that would be most consistent is your new door with 6 lights. The lights are more rectangular. The lights in the 3-light doors are more square. Just another way of looking at it. So happy for you!

Mimic your front door, and change the mud to no divided lights.

Better would have been to consider framing in the plan that allowed you to close off the view of mud entirely from both living spaces.

I will assume by the term" formal" you mean quiet space, or adult space. I see no "formal" concept anywhere else: )