We have white powercoated tin ceiling tiles in our bathroom. They were new, though, but easy to install since they were tongue and groove. Since ours came out so well, my hairstylist ordered the tin for his kitchen, and it looks fantastic when I got to see it at his holiday party.

Sounds questionable. Variations from 2 to 3 inches are rare. Chances are you don't have them, but even if you did, putting down parquet wouldn't disguise them. Get a long straight board and/or a level and set it on sections of the floor. Making a blanket statement about all concrete floors being out of level is inaccurate. The parquet in the unit was probably done because it was an inexpensive wood floor, not to deal with a subfloor issue. Floating floors are very sensitive to level however. They generally use the same specification as architects which is level to 1/8" within 10'. Humps in the floor can cause areas to be bouncy. This is generally easily fixed by doing some floating.

A white-ish wood-look herringbone would be so versatile! I haven't found it yet....hopefully it is "out there" somewhere. But for fantasy purposes here is something lovely available in the UK (it's glue down, so I include it just for fun): https://www.flooringsupplies.co.uk/vinyl/17701/karndean_knight_tile_lime_washed_oak_herringbone_sm-kp99_vinyl_flooring

Oh, your floor is so beautiful! And, your dogs a re so cute. How do you clean the grout? Is it time-intensive? What type of maintenance do you have to do for your floor? Thank you for the suggestion about Arto. Their tiles look a lot like the reclaimed French tiles I've found. I'll have to dig through their site for prices.