IMO the last thing you choose is wall color and honestly I see no trim worth keeping if you rally want white . That IMO is not 1908 trim so no reason to not paint it in fact IMO with thenew floor color that wood will look bad. I woud start with the kitchen get it done to the point of wall apint then at least you will have the blue to work with . BTW get good lighting beefore making any color choices anywhere .That is good LEDs in 4000K in all fixtures either pot lights , fllor lamps, table lamps and under cabinet lighting,

as an electrician the lighting isn't a problem and can lights will be added in the near future, the floor is the current project because I'm waiting to buy furniture until floor gets done. the trim is staying as is.

If you are modernizing and painting the room gray...the trim shouldn’t stay as it is....

I agree with Btydrvn

That is not original trim. And neither are the doors. Nothing to save.

Now if you're flipping the house, not spending the time/money to upgrade trim and doors to something better makes sense. But if you're keeping the cheapies in deference to a future buyer, don't. Get something that makes you happy.

I would not stain the floors. I'd just seal them and let the wood colour shine through. Navy will work well with them. I have my doubts about grey though-- you'll likely need a warm grey.

Jennifer, thank you for the first stain, or lack thereof, suggestion. there are 3 variables and 2 are given, I'm asking for advice on the third. I know the trim is not perfect, but they're other decision makers involved and I'm not going to fight them about the trim. If I could paint the trim I wouldn't be asking the question in the first place... It's amazing how people's solution for a difficult task is to simplify it by changing the variables so the question doesn't exist anymore.

Early America will give your floors a warm look. Which looks like red birch.

I think the reason that people are simplifying the problem is because we think that you control the variables. If someone else is bent on keeping the trim how it is, that's different. I suspect you've probably already made the same arguments to them as we are making to you!

So, given that trim is a fixed constraint, here are some mock-ups with navy + grey or brown or beige:

I actually like how the brown makes the trim/door disappear. But I would probably pair it with a cream and use the navy as a minor accent rather than a full wall.