Small app that displays time (with seconds) in lots of different timezones.
Universal Time is a small application that displays time.
It shows you your local time, with or without seconds, including a large list of optional time zones throughout the world. Swiping left or right shows you how the time changes across time zones.
It also has the capability of showing "mission time", a counter that can be reset at the start of trip, for instance, and that maintains the mission time across time zones. Very useful for tracking flying time and when to take medications while traveling.
And if you're really fancy, you can display the time in decimal time (also known as French Revolutionary Time).