In Rio, a couple of mooks play RPS and one of them wins by lying to the other that scissors cuts rock.
In the first Teenage Mutant Ninja Turtles live-action movie, after seeing Raphael and Leonardo spanked by Shredder, Donatello and Michaelangelo do RPS, with the loser having to take him on next. Note that the Turtles could only use the standard version of this trope, as nearly all variations (e.g. Lizard/Spock) require more fingers than they've got.
In The Powerpuff Girls episode "Curses", the girls play this game with the loser having to see if dinner is ready. Using their Powerpuff Girl Hands, Blossom states that scissors beat paper. Bubbles complains she always loses.