Can I save money by unplugging appliances?

Yes.

How much? Probably just 10USD per year, based on research by Cecil Adams on Straight Dope.

Am I glad I read this! I used to think that unplugging actually saves loads of electricity because each time I unplugged the airconditioner, it would give a sound --and I thought this meant that electricity had been running through it and my unplugging it caused some rotors to stop moving.