Bisphenol A (found mostly in hard colored plastics) is becoming particularly non grata (update: in Canada) these days.
Edit: according to the article it's also "the de facto lining used in food cans". Wow.
Edit: Realized I misread your comment. Yes, the problem is with some plastic products, which use these chemicals (but not all, since the video mentioned that one hospital using safe plastic products).
Alex, does the film contain specific recommendations to consumers? (Normally I hate using the word "consumer" to mean "citizen" but in this case it could hardly be more accurate.)
http://www.sailhome.org/Concerns/BodyBurden/Burdens/Phthalat...
Realistically it will be impossible to completely avoid the stuff until it's made illegal.
Not in the United States.
Bisphenol A (BPA) is the other major offender. Many companies are at least removing from baby bottles and teethers now.