A watch is just for telling the time - your other gadgets are for everything else.
That being the case, there are few things as geekishly awesome as an automatic (ie self-winding) mechanical wristwatch.
A little tiny machine, small enough to wear on your arm, that uses nothing but springs and harmonic motion to keep time, accurate to within a couple of seconds per day.
If you have the means, you can spend $_absurd on a status-symbol automatic watch.
If you don't have those means (or that inclination), you can get some serious bargains.
My everyday watch is a Vostok. http://www.vostok-inc.com/ . Delivered from Moscow for under $100. Seemingly indestructible, and more than accurate enough - I only ever need to adjust it if it stops, after not being worn for a couple of days.
I've seen some Seiko 5 automatics recently on Amazon for similar prices. More elegant (and delicate) looking than my Vostok (which is more like a watch movement set in an anvil), but very good little units.
Second-hand mechanical watches can be found for even less.
Get some cheap watchmaking tools off Ebay and pull a cheap mechanical watch to pieces, just for fun. Because you can.