Another vote for casio, check out some G shocks. The 5600 can be found around budget, for a few bucks more the 5610. The 5610 is mb6(multi band 6) and solar, i know a few who are on their original battery 20+ years on. Very hardy, accurate to the second as update through the night.
5610(dont get a negative display like this though, get positive display if can as it is easier to read in low light)
5600(neg display)
If you have larger wrists(so 8" or more) consider the 56(king)
Super cheap and retro? How about the metal 593 A163W, is a little dainty though, if have smaller wrists (6.5"), can be found for under $20