Granted, I only read the first chapter of the first book, but I know what they’re about.
I would suggest Anathem. It’s actually not that similar to the Hunger Games. It’s longer, denser, and more about science than politics and action. And it’s really boring in the beginning. But it is about a kid in a strange but familiar world, and the action at the end of the book is amazing. (Some romance, too). A longshot, and it’s a lot harder to read—it’s not “young adult literature,” it’s hard science fiction—but you might like it a lot. It’s my favorite SF book.
Another one of my favorites, much more young-adult than Anathem: House of the Scorpion — it takes place in a future dystopia, the main character is a clone who is owned by a pharaoh-like drug lord.
Finally, another YA book series: His Dark Materials. The first book takes place in a parallel universe and the main character is a runaway girl. It also has awesome armored talking polar bear fights. Don’t judge the book by the movie, which was godawful (and if you haven’t seen the movie yet, don’t bother).