auto or manual????
1. Someone disconnected the front propeller shaft. I checked that the rear shaft is still connected at the rear differential. It looks like it takes a lot of work to disconnect the front shaft so I wonder if anyone would bother. I can't get far enough under the car to see if its still connected to the transmission.
if the front section of the drive shaft is removed the trans will puke fluid, auto or manual. so this is not the situation.
2. A gear broke in the transmission or in the rear differential.
for the auto trans,
it could be just worn out transfer clutch discs in the rear extension housing.this is not uncommon.
or it could be a busted clutch drum. less likely but it still happens.
or it could be as simple as a busted rear drive axle.
you don't here much about the manual trans with NO AWD. but i guess it is possible.
try unplugging the TCU under the dash on the driver side. (it has 2 wide wire connectors, one with 20 pins and one with 16 pins, side by side.) this will put you in ''limp'' mode with reverse and 3rd gears only. and it SHOULD cause torque bind in tight circles on dry pavement. if no TB there is a mechanical problem in the transfer clutch, as mentioned above..