Permissible products without a P include almond milk, Hershey’s Krackle Milk chocolate bars (and Reeses Peanut Butter cups), and cans of plain crushed tomatoes. (*Jealous*)
And here is a link to the Recommended Passover Product List For Sephardic Communities, put out by the J.S.O.R. (Jersey Shore Orthodox Rabbinate). The JSOR is for the Syrian community, and tends to be a bit more strict on several things (for example – Passover certification is required on all chocolate products).
The links are PDF files, so you will need Adobe Reader to download, view and print them. (Adobe Reader is free to install.)
Thanks to my friend, David, for sharing these on Facebook!