After being funded by Kickstarter, ThanksKilling 3 came out in 2012. At the time, it was marketed as the first movie to skip its sequel. This means that the first and third movies were made, but not the second one (a few clips are shown in the movie, but the second movie is largely just a plot element for the third).
In this case, ThanksKilling is a movie that references a possible sequel. ThanksKilling 3 is a movie that references Thanksilling 2. ThanksKilling 2 is not a movie. Thanksgiving 2 was teased before the release of ThanksKilling 3 and up until the release of the third movie, it looked like the second movie would actually be released.
Searching Google about skipped sequels and prequels has largely led me to sequels that should have never been made or Star Wars, so I am wondering whether or not ThanksKilling the first franchise to skip a sequel entirely. Has a franchise done it since?