It sounds like a wire short some where.
sounds like you have a broken ignition wire between ignition switch and fuse box
The ignition turns the car's electrical system on or off, in addition to starting the engine.
Your ignition timing is WAY off.
Well sometimes the radio is hooked up to the ignition itself. It is just the ignition wire, if it has a disconnecting face plate then you can turn it off by taking the face plate off. Or if you would like, you can pull the radio out and disconnect the wire from the ignition and it will not still be on when you cut the truck off.
Occasionally my 200 Malibu does something similar...engine turns off, but radio stays on, etc. Make sure you a really in PARK to get the accessories to turn off.
The radio time would stay on if you had the keys in the ignition but the ignition was only turned halfway.
my stereo turns itself off
The radio should go off when you open the door to get out. Maybe a relay?
It turns off just fine in MY 03 passat.
with the engine and ignition switched off .just press on/off switch on radio
The on/off pushbutton has a bad internal latch and must be replaced it is a BOURNS panel mounted switch 3712X-001-036 with a ribbon lead and plug and is easily replaced but you will never find one