I agree that you should hold onto these family pictures and make every attempt to find their blood relatives. There are people out there who might be really thrilled to see those photos. It doesn't matter that they are unidentified. Someone somewhere may have a picture of the same person and can identify them. I can say from personal experience just how important this could be to someone.
You don't mention aunts or uncles. If your parents had any siblings or cousins then ask them whether anyone in the family does their family tree. On Ancestry website you may find your adopted parents or grandparents shown on someone's tree, and other genealogy websites provide help and advice. Don't give up and bin them, just hang onto them, because I promise you if you keep searching eventually someone will want them. I have given out photos after many years holding onto them, and brought great joy to the recipient, but you have to be patient and keep looking.
To think that London, or anywhere else for that matter, does not belong to any one demographic