The bath
Our 1961 house has a similar tub and what looks like the same toilet, only in gray. Our tub, though, doesn't have the bump-out in the side and the tub cavity is actually angled a bit diagonally within the footprint of the tub fixture. The toilet tank in the picture looks like a flat center in the front 1/3, with either side kind of slanting back as kind of a wide bevel-look.
All our bathroom counter tops are Formica. The full bath in the hall is in good condition--still a bit of sparkle left in it. A friend of ours once said the pattern reminds her of the opening credits of Bewitched. LOL
I have a feeling the original sink in the half bath/laundry room was probably a standalone with no vanity. What is in there now is a cheapie cabinet/one-piece, probably from the 80s or very early 90s. (We had to take down a bunch of Country Geese wallpaper border in that room when we moved in.)