I use a '67 KAPA Minstrel (see below). American body, neck by Hofner, electronics and pickups by Harmony. The Minstrel has a thin trebly tone, very much like an old Rick. Clean, with all three pickups engaged, it has a pleasingly lush vintage tone, very reminiscent of the Mercy sound; overdriven, it screams, squeals, and often throws an uncontrollable fit. I suspect this is due to the dicey pickups. It's an unpredictable beast, but that's part of the charm.
I use the Minstrel for all my solos in THEE DIRTYBEATS, as it contrasts so well (and cuts through) Jamie's thick fuzzed-out Mosrite -- another guitar with especially good tone for garage.
The following track has examples of both tones. The opening riff is the Minstrel with overdrive, while the backing guitar during the verses is the Minstrel played clean. The terrific solo is Jamie's Mosrite -- he totally has that fuzz thang down:
http://theedirtybeats.bandcamp.com/track/you-turned-your-back-on-me