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"My mechanical watches are much more reliable. My personal experience with good mechanical watches (Omega, Panerai) is that they drift by at most 2-3 seconds per day."
I wouldn't call drifting 2-3 seconds per day 'reliable'. I guess it depends on your definition of the word.
In terms of general accuracy, quartz watches (ie. battery-powered) are much more accurate than any mechanical watch. Mechanical watch enthusiasts often compare the movements, the finishing, the level of adjustment, types of certifications, performance under different circumstances and other esoteric measures of mechanical timepieces.
Quartz watch enthusiasts compare... mostly accuracy measures. If accuracy is important to you, a quartz watch is the way to go.
If you want a really cool watch, check out the Omega Speedmaster Professional X-33 (with Quartz movement). "Designed in close collaboration with astronauts and professional pilots." email@example.com