Rubber to Plastic

For strength, we recommend:

Barge

But for large areas, and a smoother application we recommend:

3M 80

A less toxic, and unfortunately, not as strong option is:

LePage's Press-Tite Contact (solvent-based)

LePage's Press-Tite Green Contact Cement

3M Fastbond 30-NF

There are so many kinds of plastic its hard to give advice here that applies to them all. If possible try a small test in an area that doesn't show.

Some plastics have a smooth surface finish that can be sanded off with a 120 grit sand paper, for better adhering properties.