I cannot speak for British language usage, but as a native American, "packed" and "packaged" have two different meanings for me. "Packed" is the past tense of the verb "pack", although it can also be used as an adjective, as in "packed [noun]". That noun could be anything that can be packed (including food). However, "packed food" does not make me think of commercially prepared food, as does "packaged food". Instead it makes me think of food that someone packed into a certain space or container. Example: When we went camping our packed food included lots of healthy snacks, some commercially packaged and some packed into our own containers. "Packaged food", in my mind nearly always refers to commercially prepared food. These kinds of food would be sold in packages designed to give them the best shelf life.