The books and movies cover the following Hunger Games:
* The Hunger Games (Book 1/Movie 1): Katniss Everdeen and Peeta Mellark are the victors.
* Catching Fire (Book 2/Movie 2): Katniss and Peeta are the victors again, though the games are rigged and they ultimately escape.
* Mockingjay (Book 3/Movie 3): The final rebellion against the Capitol takes place, but the Games are abolished.
If you're interested in other Hunger Games stories, you might be thinking of the prequel novel "The Ballad of Songbirds and Snakes", which focuses on Coriolanus Snow, the future President of Panem, participating in the 10th Hunger Games.