2002 jetta tdi with manual transmission, front end shakes

automatic or standard?

Btw, I’m available to help over the phone in case u need at https://www.6ya.com/expert/sean_54c3a3dc48a7773c

Ignition coil?

front end linement.

Hows the rim and the tire?Accelerate when it begins to shake put it in neutral,if the shaking goes away it in you transmission.

REPLACE THE Ignition coil under $300 will fix it I just did it the clue is when it rains the coil has cracks in it and water shorts it out.

if it has a 1.8 coils are bad but check mass air meter and throttle as well

Sounds like its missing on 1 or more cylinders. A check of the plugs and wires is in order, Could be a fouled plug or a loose/bad sparkplug wire. Best of luck.
Greg

Have you checked your transmission fluid?

Your car overheating is either low coolant or its the thermostat. The thermostat is what tells the car to add coolant and turn on fans.
Your tranny slips could be because low transmission fluid, which was the cause with my VW. Or your tranny is bad, which is common with VW.
When your car shakes when you accelerate does it seem like its choking?

Unless you have a check engine light on or other electrical warning for the transmission chances are the transmission is failing and needs an overhaul.