Perhaps before we discuss treatment of your trim, I should say that prevention is an even better idea. It makes no sense to put sealants and waxes on the car that will ruin the trim, and them spend an extra hour cleaning the trim and dressing. Better to use a product that won't stain in the first place.
Throw away anything you have that says "wax" or "carnauba" on the label or in the fine print. First of all, waxes are comletely outdated technology. You'll get far easier application and longer lasting results with a modern synthetic sealant. Examples are Zaino (best), Meguiar's NXT, Rejex, or Meguiar's #21. Besides being inferior in protection, ease of application, ease of removal, and durability, anything that has wax in it is going to stain your trim. Once you get wax on the trim, it can be near impossible to get off. And it will make the trim look white, yellow, and hideous.
Do yourself a favor. Change to a more modern product that won't ruin the trim in the first place! Below is a list of products that I and others have determined to be safe on trim:
As you can tell, my experience is quite limited. I have no interest in spending time and money testing a multitude of products. After I tried Zaino, my results on the paint, and the complete lack of damage to my trim, were perfect for my needs, so there was never any need for further experimentation after that. I've stuck with Zaino and have no plans to change.
If you've made the mistake of getting one of the staining products on your trim, you'll find removal very difficult. Here are some products to try:
This is my own favorite to treat all the trim on my vehicles. First make sure that the trim item has been thoroughly cleaned with auto shampoo. If there are any prior layers of trim dressings on the item, make sure to remove them with one of the products above. Only once you are certain that you have a clean base surface can you apply a restorative product like Back to Black. I just apply it with a piece of cotton T-shirt, let it soak in, and with severely damaged trim, do a second treatment 15 minutes later. After heavy rain or another washing, much of the benefit will be lost, so you'll have to reapply. Eventually you'll see that you'll obtain a long-lasting improvement and need to reapply less often. It's the best single product I've found
Read customer opinions on Back to Black
The Corvette service manual actually recommends for all rubber trim and window mouldings, that you treat regularly with dielectric grease (GM product #12345579). It does a failrly good job, restoring a nice shine to the window mouldings where I have used it. Just apply with a very small dab on your finger and spread it out. It is, well, greasy! So you'll find that anyone who touches the trim afterward will smear it all over your door. Still, it is inexpensive, and worth a try. I'd give it a preference #2 (only for the window mouldings and trim, not for plastics) after my first preference, which is Back to Black.
Click on the thumbnail images below for a look at the nice final result from dielectric grease:
You'll find some very nice product comparisons published at Josh Wardell's web page.Click on the images to go to the full reviews.
In case these web pages are taken down at some time in the future, you can download pdf versions of the articles here:
Wardell Trim Test pdf.These reviews are very good, and I encourage you to read them. However I cannot agree with the author's conclusion that "Forever Black" is the best product to use. My own experience with this product was HORRIBLE, and I would certainly not recommend it to anyone.
It is simply a black dye. It is extremely messy. You'll have stains all over your hands, the paint of the car, the windows - anything that it touches or drips on. And it won't color anything that is not a very porous material. For me the results were so entirely hideous that I had to go over all the trim again with a firm sponge and paint thinner to remove it. I threw it away and would never consider using it again.
If you do decide to use "Forever Black", do so very cautiously . Apply it only on the smallest and most inconspicuous test area first and wait for it to dry fully before you proceed. You've been warned - so if you mess up your Vette with this stuff, you only have yourself to blame ! 
Just like trim care, you should avoid staining the tires with any wax products, so don't use them ! Also, on eash washing of the vehicle, you should strip off all layers of previous tire dressings and goo, and get the rubber totally clean. Allow it to dry, then apply a trusted dressing. Here is what I suggest: