The color isn't too bad. A bit more disconcerting are what appears to be cracks and damage in the plaster above the shower, and more cracking in the shower tiles.

Would you consider getting rid of all the tile, then just re tiling the tub area?

Then also replace the floor.

Five years leads to ten, you really never know. If you keep the tile, it will always be old.

Sorry, I know many on here say they like vintage but in reality those buying homes like yours see these bathrooms as a redo.

I'm usually one of those that loves vintage and encouraged keeping it- when it looks like the tile and walls is good, and the floor good.

But with those cracks/damage in the walls (and looks like ceiling in one photo), and the cracking in the tiles on the one shower wall, and the OP saying there was also damaged floor tiles... I have to question the integrity of the room after a few more years of use without addressing that.. and that might well mean more pricey gutting work rather than just working with great tile and freshening the rest for the few years.

Also, Brandon... what is your current air ventilation setup in this bathroom? That may well need upgrading too. Or at least looked at- can you share pics?

Believe me I would love to get rid of all the tile. I just don't want to put that much money into it.

You could paint it. I did a search and found this changed-our-bathroom-tile-for-150-bucks

I just recently put in a bathroom fan. There was none before. Also the foundation shifted on the side of the house the bathroom is on.

I don't think it is terrible and taking a 'do no harm' approach could allow you to co-exist with it and the next owner to make more serious renovations if they are inclined.

We had a vintage grandma bath but with yellow, plastic (ick!) tiles. It had some really dreadful wallpaper and dated fixtures too.

In your case, I think patching and painting the walls and giving the tiles a nice deep clean would be a good place to start. Paint the metal work of the vents and whatever that little door in the shower is. Swap out the plastic blinds for some white wood-look blinds. Change out the mirror and faucet.

Hard to tell, but those floor tiles may not be original. Do the black 'baseboard' cove tiles actually transition into the floor tile without any gap or height difference?

The baseboard tile seems to transition to the floor tile pretty smoothly, but I have no idea if they are original or not.

Yay on you for installing fan, bummer about foundation shifting.

Sorry I don't have much to suggest about other renovations, but those things just jumped out to me first.

If you don't want to put much money into this project, limit the scope and do the work well. Don't go for quick fixes that aren't going to last.

Patching and painting the walls would be my first step. A light peach would be my first thought but a very pale blue, green or silver might go well also. If you have installed a fan and stabilized the foundation issue, the cracking probably won't get any worse.

I am actually installing that same floor tile pattern now in a vintage house bathroom, although yours is likely a matte finish, not glossy. I think you should be able to find some reasonably close match tile. A plain, or thin metal rim, mirror front cabinet is probably closer to the original than the existing one. My choice would be a chrome faucet as that fits the era. Is the tub faucet original or has that been redone?

I believe the tub faucet is original.

I would match the finish and look of the tub faucet for the sink
My choice would be privacy glass rather than blinds. There is a large variety of films you can apply to the glass, both frosted and coloured like stained glass. Then if you wanted a design, you could add a Roman shade or roller shade

what's the little door? is it a laundry chute?

Yes it is a laundry chute.

I love it. I would repair tile over replacing. Once you start it snowballs and it can add up.

I would do an awesome, cool wallpaper and then a crisp white shower curtain and a window treatment (I would put that privacy glass decal over the window first). I like that crisp, classic, monogrammed/border look For the window and shower curtain. Look at Leontine linens and Ballard Designs. I would replace the mirror and select towels, bath mats, decor after I chose my wallpaper (but they’d probably be white). I would do chrome faucet or a cute black one if i could find an affordable one that fits the style.

I would call that color coral not peach. Coral is super trendy right now! Look for a really good fashionable shower curtain which incorporates coral, black and white and use that to inform your wall paint color choices - you could even take the shower curtain to the paint store and have someone help you One other idea is find that exact color of coral on a paint strip (or as close to it as possible) and then pick out a shade thats a couple of shades lighter for the walls. That way the room is tied together (called monochromatic color scheme). A realtor told me that it doesnt have to be any one particular color, it just needs to bethe RIGHT color. Meaning that the colors in the house all fit together and look harmonious. Its impossible to predict what some future owner wants. Spend your time /energy getting it super clean instead of decorating (aside from paint/curtain)

We had a tile and grout shower and shower floor. We are a few years away from a full renovation, but the grout was awful. We chipped out the grout on the shower walls and regrouted - awfull job - don't do this. AND for the shower floor, we thought we'd give it a shot - and painted it... LOVE IT - and 3 years later it is still perfect - even with daily showers... It is hard work - but very much worth it to get rid of icky grout... and if you don't love pink... you get to choose your colour! https://www.bobvila.com/articles/painting-bathroom-tile/ and another : https://notinggrace.com/changed-our-bathroom-tile-for-150-bucks/

We had a similar issue -- how to update a peach bathroom when the floor and wall tile are in excellent shape. I know this is several months coming since you asked, but maybe what we did will help with your decisions. https://www.houzz.com/hznb/projects/updated-vintage-peach-bathroom-pj-vj~6659485