VHS Wobble After Effects
Replicating an accurate VHS-look is a complicated profession, but if you are not worried about the technical accuracy you could emulate it like this:

Create a solid called &quot;Displace-Map&quot;
Apply turbulent noise to it
set the scaling to something huge in the x-axis and something reasonable (100%) on the y-axis.
alt-click the stopwatch on &quot;evolution&quot; and enter &quot;time*100&quot;, so that the noise changes with time.
Apply &quot;Displacement-Map&quot; to the layer you're trying to displace
Set your &quot;Displace-Map&quot;-layer as the displace-map in the effect
Dial up the displacement until it looks about right
Don't forget to hide the Displace-Map solid and select &quot;Masks&amp;Effects&quot; under the settings in the Displacement-Map effect, so it also reads the turbulent noise.

You might want to adjust the speed of the turbulent noise. To do that, just up the number you multiply time with in the evolution-expression.
I hope this helped, cheers!