I've gotten it down to 50 seconds for a cold boot and about 30 for hibernation. Minlogon doesn't really help much, it may save you a few seconds. I'm recommend getting TuneXP (Link:http://www.download.com/TuneXP/3000-...-10290929.html) and running the ultra-fast boot option. It essentially defrags and moves the critical boot files around to optimize boot times. Download and run bootvis and have it optimize your boot up.
Also disable any hardware that you aren't using, like the wired ethernet, bluetooth, wifi, etc.
Probably the biggest slowdown on the Mini is the 10+ seconds it takes to get out of the bios and start the OS boot process.