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.
Not in the United States.
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.
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).
Bisphenol A (BPA) is the other major offender. Many companies are at least removing from baby bottles and teethers now.