A few other series I can think of that sort of match what you are looking for.
Mirai Nikki
A school kid who likes to write a diary gets drawn into a game where 12 people get what is called Future Diary. They can through various means tell the future and with the help of that fight until only one survive.
Deadman Wonderland
An entire class is killed by a mysterious cloaked person, except for one, Ganta. Ganta becomes the sole suspect and is sentenced to death and taken to Deadman Wonderland, a theme-park like prison. There he has to participate in lethal games so he can win candy that will stop the poison in his veins from killing him...for a short time.
Btooom!
Btooom! is a video game where players fight each other with bombs. Ryota is one of the best players in the world but one day he wakes up on a tropical island with no memories of how he got there. It quickly turns ugly when the first person he meets throws a bomb at him and he realizes he is in a real life version of the game Btooom!.