I'll delve more deeply into this world of presidents in film in the coming weeks. Here's a good starting point: one, Bob Mondello's piece for NPR about Lincoln's Screen Legacy, tracing the history of Celluloid Abe from Henry Fonda and Ralph Ince to the Spielberg-and-Vampire-Hunter era we're in now.
I'm also going to look into another area presidents end up on occasion: video games. The best one, hands down, is the game Bad Dudes, where two, well, bad dudes go on a secret mission because "the president has been kidnapped by ninjas." And there's a movie adaptation! Well, sort of.