HMTX has a couple of terrazzo look patterns. Not sure that goes with an old farmhouse either, but it's not wood look.

You can get vinyl tiles as well, which come in virtually tons of colors and patterns. You can do with our without grout as well. We just did it basement bar in vinyl tile (no grout). We used karndean but there are lots of suppliers.

Hmmm, I dont know about stick on tiles. I just remember a bad experience in the 1980s, the adhesive lasted about two minutes before tiles loosened and fell off. The plank type vinyl uses glue too, but what Im reading suggests that it's not prone to gapping and coming loose as much ...

Many varieties are floating, click-lock style, not glued.

They aren't stick on tiles. They are virtually the same product as the wood lvp, just different shapes and styles.

Nothing you get today will be the same as whatever you got 40 years ago.

I concur with anj_p vinyl about vinyl tiles. You should be able to find some that would work in space. We recently installed these rectangle vinyl click-lock tiles in a 1/2 bath at our lake home. They did not require and glue.

The lower level of our place has these square vinyl tiles with no grout. They are more than 15 years old and are as nice as they were the day they were installed

My interior designer used a sheet vinyl (checkboard pattern) in her laundry room (home built 1920s). Looks GREAT!

Thanks all! I pretty much need something water PROOF vs water RESISTANT, so sheet vinyl is strong contender as is some, but not all, of the LVP. I sure hope stick on tiles have improved in 45 years LOL. I am seeing what is called "peel and stick" so assumed it was essentially the same thing and that it's something different from "click lock"....? Think I need to push away from computer and go to a flooring store (not big box) and look around. Would still be interested to see your non-wood pattern vinyl flooring!

I kinda like the floral designs - have an authentic early 1900s feel

But plain granite look might be more versatile for different decorating styles

Sheet vinyl is not the same as luxury vinyl tile (LVT) is not the same as peel and stick tile. They are all different products. I don't think any one is recommending peel & stick tile.

LTV can be glue down, placed loosely, locked together. See this for an example of the formats.

Sheet vinyl is cut to your room and is an inexpensive way to get a fancy tile look but it certainly would never be mistaken for tile. We used sheet vinyl in our laundry room.

The Karndean tile we installed in our basement was mistaken for actual grouted ceramic tile (even though it is vinyl and not grouted). So it depends on what look you are after.

Not all stores will have LVT. We found ours at a small local flooring specialty store.

I wouldn't install granite look-alike flooring, personally.

Look at Marmoleum tile products.

Sheet vinyl is good if your room is not too large. I was warned by a flooring sales rep that the risk of damage to the sheet vinyl will naturally increase when it covers more square footage, and that repairs to damage can be minimized but are almost never invisible (to which, I might add, I have experienced). I have sheet vinyl in both bathrooms but they are not that large in area size.

Mannington stone-look sheet vinyl:

close-up, below:

For larger spaces, LV tile or plank is usually recommended. There are waterproof AND water-resistent LVT and LVP products. Do note that mfg guarantees are completely dependent upon proper installation; i.e., PROFESSIONAL installs. DIY installs have apparently not had much luck on making claims! And yes, I learned about that from the old GW threads on flooring.

I have LVP in my kitchen and am very happy with it. No problems at all with water spills on it, although I've never had any slow leaks. I have had damage, however, and it was easy for my handyman to pull the damaged tile up, and glue down a new tile (I made sure to buy an extra box of tiles with our order).

We used Mannington LVT in a slate look for the kitchen because it runs next to 1940's red oak flooring, which I would never be able to match. That was 10 yrs ago, still in great shape and very happy with it.