Best way to clean plastic trim?

[MrsZug]

I've seen a lot of info on threads about how to clean wax out of the plastic trim. I did get wax on my trim when I first got my Clubman a little over a year ago (used Banana Gloss all over the trim). I used peanut butter, and it helped a lot. I've also been using Black Wow, and it's been pretty good.

We just had a ton of rain and messiness, and I finally got to wash my car. The plastic trim under the doors was especially filthy from all of the dirt and road grime.

So my question is...how does everyone get the plastic trim clean from dirt and grime? Does the trim get much dirt trapped in it if you haven't had wax in the trim? I'm wondering if the initial wax application is causing dirt to stick in the trim more than if there had been no wax in it. I've just been washing the car as usual, and trying to scrub the trim, but the dirt usually comes right back.