The dryer motor gets stepped down somehow to spin the drum - you could use that to power a grain mill.
You could use the whole dryer to dry hops (probably should slow the drum speed down though). Or just gut the fan and heater and use them. You could also use them to heat a ferm chamber in the cold months.
For the brew setup: pump from wash machine (maybe), water solenoid valves (no more turning handles, just press a button on your controller).
The agitator drive mechanism on the wash machine could be used as a mash stirrer, maybe.
Buttons and knobs - maybe use them on an electric control panel. 240V cord off the dryer (if it's electric) would be good for an electric brew setup. They're like $15 new.
Gut it, insulate it, and use as a fermentation chamber and out in the garage. When the zombies come looking for your beer, it'll be hidden in plain sight.
Or, same as above, but turn the temp down, and make it into a kegerator (hey, I saw someone make one lately out of an old big screen TV here on HBT).
Haul it out in the woods and use for target practice, at the least.