My favourite travel watch is the Omega X-33. Trivially easy to set time zones, GMT, many different timers and alarms which are loud enough to wake the dead (or a jet lagged traveller). Also, for all that it’s a big beast it doesn’t really look like a luxury watch or particularly desirable.

If I’m going to be hiking, biking, swimming etc. (or visiting a more “edgy” area), I’ll take a metal square G-Shock, usually also titanium as I appreciate the lightness if I’m somewhere hot.