I like the second one a lot, especially how the upper and bottom numerals face the floor and the left and right ones face towards the center, and to allow for that there has to be a sudden flip from 3>4 and 8>9. But the indices are not playing by the square-clock rule and unlike the cartier one form a regular oval shape.

I like how the upper one had to find a way to make clear which indice represents the numerals - it really shows the problem in projecting the circular movement of the hands into a rectangular (thanks, that's the right word) shape.

It think most analog clocks/watches will give you an old-timey whiff much more often than not, just because there is a more new-timey alternative. I went looking for some watch faces for smart watches, but couldn't really find any interesting one. Most are either digital numbers or a round clock on a rectangular display.

A clock face for an apple watch branded with Hermes

Neither of those interest me like the Cartier tank, which I find really ugly watches to be honest. It's just this double outlined rectangle(-ish shape) which is unevenly split into 60 boxes that I like (seen below on the first, third and fifth watch).

Six different Cartier watches in one image