These have been mentioned before, but we’ve gotten hit a couple of times with the fake petition (near Notre Dame, Sacre Coeur, and Eiffel Tower). And Sacre Coeur was mobbed today with strings from the bracelet scam. My daughter noticed the pack of men holding strings in time for us to alter course and avoid them. I saw the shell game up near Sacre Coeur as well.
A money belt and locking purse kept me in possession of all my valuables.