Time for a serious tune up.
Time to get a new car!
If the shaking is specific to acceleration and the shaking is very rythmic (not random) it is most likely a fault in the ignition system. Usually a tune up or ignition coil replacement will solve this problem.
need to check your evap system or you have a blown head
Your alternator is not keeping the battery charged.
Might be a valve hanging up
it might be b/c you are either switching the clutch too early or too late. it might need a curtain part, this happened to my fathers Honda dx
The car has a boo boo
try changing the spark plugs and spark plug wires you probably have a bad throttle position sensor. Answer Check for Vacuum leaks as well if TPS doesnt fix it.
The best place to view videos with insane car jumps is YouTube. A YouTube search for insane car jumps returns hundreds of results one could enjoy watching.
If your car shakes while underway, your tires have worn incorrectly from misalignment. If it shakes while in park or not moving, your engine is misfiring.
check engine mounts
If a car shakes during acceleration the brake rotors may be damaged. If the rotors are damaged they will be unstable as the tires rotates making the whole car shake.