World map clocks have always been popular ways of presenting the 24 hour clock and its basis in physical geography.
Here’s a picture of Tom Shannon’s Synchronous World Clock. (Thanks for the link, Tom.)
The map on the face is by Buckminster Fuller and Shoji Sadao. A limited edition of 20 was made in 1983.
If you’re looking for something a bit more basic, here’s Trintec’s World Clock:
You can find vintage versions of this Seiko compact world time clock for sale online. I think it was made in the 1970s or 1980s:
If you want a more abstract design, you might—if you’re very lucky—find a Willis World Clock from the 1930s:
Looking at all these world map clocks, I’m not sure whether the NorthPole-centered projections are more or less common than the SouthPole-centered ones. I suppose that one advantage of the SouthPole versions are that the clock’s motion can be clockwise, with the hands moving clockwise as the world rotates eastwards. With the NorthPole versions, the eastwards motion has to be reproduced with counter-clockwise motion.