The main one I can think of is the plastic bubble mailers and also the air packaging bubbles Amazon uses. The city says not to put them in the blue recycle bin. The mailer itself says take it to a grocery store. I take it to Whole Foods, owned by Amazon, ask the Amazon return staff where to put it, and they refer me to the general recycle bin in the front. Then there's a web address on them that says the same thing as above.
I don't know what to actually do with them or where a magic plastic mailer dropbox is at.
No one uses plastic bags around here anymore, so I don't have to worry about them. When I did have them, I typically reused them until they basically became trash.