The question you need to ask is - is there anything in the appliance that needs to be switched on at all times?
Most simple devices like older TVs, toasters, washing machines/driers will completely cut the power when switched off.
I've repaired a few older TVs, the first port of call for the mains wire is the switch, only after than is there any thing that might take power. Same with toasters, pushing the lever down activates the main switch - no power can flow unless that switch is on. Also true for my old tumble drier and washing machine (not for my new ones).
On my old washing machine - the door interlock was electronically controlled. However, when the power was off - if you pushed the door open button, a lever would push the power button (to energise the interlock circuit), and then turn the power off again once you opened the door. On my new washing machine, it is all electronic - an 'always on' circuit will operate the door interlock, even though the machine is switched off.
The technique of a constantly powered circuit is increasingly popular, due to convenience for the manufacturer (small low voltage switches are cheaper, smaller and require less force to push than mains voltage switches - especially ones that will safely switch a heavy load) and it's decreased cost (if you need a safety interlock relay to cut the power then why have an expensive and bulky power mains power switch as well?). Many people also prefer the 'touch' action of small switches to the heavy 'clunk' of mains voltage switches.
Finally, anything with an unswitched mains transformer (most pregnant plug type adaptors e.g. mobile phone chargers, etc.) will draw power even when not in use - they won't draw full power but will draw a trickle.