What Interesting Complications Are There?

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I was just blown away by the idea of an alarm in a mechanical watch - what is this feature called?. So what other interesting complications are there out there? I'm aware of:
- repeaters
- where the watch face always shows 12 o'clock, but you press a button and it jumps to the time (what is that called?)


What is "equation of time"?
Thanks
 
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So what other interesting complications are there out there?


Just to name a few, moonphase, perpetual calendar, tourbillion, dead seconds, jumping hours. And many more.
 
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Power reserves, dual-time zone (GMT), alarm/chimes.

Although it isn't exactly a complication, mystery dials are kinda cool 馃榿