Playing on the "hunger" aspect:
* "The Hunger Games: Where the only thing they're starving for is a win."
* "They're not just playing games, they're playing with their stomachs."
Playing on the "games" aspect:
* "The Hunger Games: It's a game of life, death, and a whole lot of archery."
* "They're not just contestants, they're pawns in a deadly game of chess."
Playing on the overall theme:
* "The Hunger Games: You either survive the arena, or you become the meal."
* "It's not about winning, it's about making it out alive."
Let me know if you want more!