There are several survival stages to unlock in Naruto Shippuden: Ultimate Ninja Storm Generations for the PS3 and Xbox 360.
To unlock them, you basically just have to beat them in order to unlock the next one, starting at Introductory Survival.
Beginner Survival – Complete the Introductory Survival
Intermediate Survival – Complete the Beginner Survival
Advanced Survival – Complete the Intermediate Survival
Ultimate Survival – Complete the Advanced Survival