1 Binman on TikTok, posted a video telling people to never put polystyrene in a recycling bin. What other items can’t I put in the recycling bin? Ashley has made other videos where he has told people what not to put in their recycling bin. Pizza boxes can go into the recycling bin if they do not have a lot of grease on them but if they are particularly greasy, they should go in the general waste bin. Did you know the polystyrene cannot be put in the recycling bin?