I disagree! Leave them as is. I think your space has an Art Deco vibe to it which is definitely having a resurgence style-wise. Embrace the Art Deco features with some creative painting and furniture. Here are a few ideas with a Deco influence:

Buena Vista Deco · More Info

Vintage Poster Inspired Design · More Info

Upper West Collection at One Loudoun · More Info

You would be so much more likely to get valuable feedback if, in addition to the picture of the ceiling, you also post pictures of the dining room as a whole, showing furniture, doorways, etc. Also, people will ask to know what your style is, how this room relates to the other rooms nearby, the height of the ceiling, and overall room size. Personally, I don't think tray ceilings 'date' a room; they add architectural interest and height to make a room more dramatic, but the generous people on Houzz can't really help much without more information.

The chandelier isn't helping. It appears to be hung too high and it looks too small.

Let's see a photo of the table, Chandeliers are sized at one half the size of the table width and hung around 33" off table top.

As for the ceiling, paint the walls a color and the tray (actual ceiling) the same.

When your initial premise is wrong there's no where to go to help. A tray ceiling is an architectural detail not a fad of a certain decade. It's a very high end finish and should be celebrated as such.

IMO this is not the type of tray ceiling that would be enhanced with crown molding, neither is it a fad that you need to change. Since you only posted a picture of the ceiling I don't know what style you're interested in, but what you have leans modern (art deco as a previous poster said). The window trim also looks modern. Crown molding to me is traditional. I would remove the center medallian where the chandelier is as that is out of place. Search Houzz photos using the search term "tray ceiling" to see what other people have done. The majority of tray ceilings are transitional or traditional. Yours is unique, which is not a bad thing.

Two posters have mentioned the room looks 'art deco,' based on the ceiling photo that was posted. Maybe I am just not seeing it, but I don't see anything from that photo that says art deco. What am I missing? The light fixture, medallion, the top of the upholstered chair and the little bit of wood molding or crown on top of a china cabinet all read traditional to me. The lack of window trim might read modern, but from this limited information it is impossible to tell.

I'm not seeing the rounded edges ... do you mean angled?

I’m not a fan of Art Deco (sorry) and that’s possibly the reason I feel like making an alteration. The house is a mid century with traditional furnishings. The dining room furniture is Old Charm so influenced by Tudor carvings. The ceiling lamp, which I’m happy to replace, funny enough is 1/2 the width of the table which is drop leaf oval. It’s all medium dark oak. So quite a lot of traditional going on. There’s very little wall space to add another style decor because of the 4 big windows and two other pieces fill most of the wall space.
More pics to help. Thx everyone.

Here’s a pic of the tray up close. It is the only Art Deco looking thing in the house.

33” off the table height would put it at nose height.
Anyone else have a guideline for what height a chandelier should be hung?

I don't object to the style of the tray ceiling, but your chandelier is hung way too high in the space.

Why not consider some type of feature for the inside of the tray like paint? If your walls are darker the tray becomes more important.

Hey I’m loving that you took the time to create pics of my ceiling painted and with the lamp lowered. I feel like I have my answer. The lamp come with us from England so it didn’t exactly convert well so it was always wonky and the ceiling medallion helped conceal this. I like the idea of painting the interior ceiling exactly that shade you used. Thx.
I’m getting a brand new lamp. What shape do you suggest for an oval shaped table?

Interesting, every example photo people sent in the tray has been finished with painted wood trim. It really does look great.

If you must do a rug, the corner might be able to only accommodate an oval rug.

Huh? A rug?