The 1st suspect is an engine "Miss Fire" Requiring investigation and repair.
Things like a broken engine mount, a damaged fan belt and whole bunch of others are also posible.
rubber bushings in motor mount worn
you most likely have warped brake rotors
Normally this is caused by warped brake rotors.
a bad torque converter can sometimes make the vehicle die while stopped.[there are ohter less expensive reasons ]
transmission and gear box, also it might be u r having sex
DEAD ALTERNATOR
Timing belt.
Yes, either can cause a shake while driving.
Loose motor mounts.
maybe my radiator is defective
If your car shakes while accelerating check your motor mounts. Then check your transmission.
You better call someone