Dwayne "The Rock" Johnson seems to join franchises no sooner than the second film: The Mummy Returns, Journey 2 The Mysterious Island, Fast Five, G.I. Joe: Retaliation, and Jumanji: Welcome to the Jungle. Meanwhile there are as of yet no sequels to any of his original starring vehicles (though it appears there's a San Andreas 2 in production.)
EDIT: I forgot Be Cool, the sequel to Get Shorty