Despite sequels being almost instant cash grabs, Jim Carrey has only ever starred in a sequel to his films, as he starred in two Ace Ventura films.
Sources claim that Jim Carrey has too much integrity to do a sequel to his movies, because he doesn't want to essentially make the same movie a second time.
The only sequel Carrey starred in was still very early in his career and he was looking for any opportunity to make a name for himself!
Some other notable actors (for the most part) that refuse to do sequels despite pressure from executives are Bill Murray (without counting Garfield and Ghostbusters), Will Ferrel (without counting Anchorman 2), and surprisingly, Adam Sandler!
Although Sandler has released enough awful movies in the past few years that maybe he should consider starring in sequels to his classic hits.
