Good pre-Bullitt action films:
The Adventures of Robin Hood, Gunga Din, The Thief of Baghdad, The Four Feathers, The Mark of Zorro, all of Douglas Fairbanks's silents, along with most of Chaplin and Keaton, lots of fun pirate movies (The Spanish Main, Blackbeard The Pirate), various Ray Harryhausen films (Sinbads, Jason and the Argonauts, The Mysterious Island), the whole 50s cycle of sci-fi films from The Thing From Another World, Forbidden Planet and Gojira at the top and down from there. And of course, many a samurai film.