The criteria for all badges can be found by pressing Back anywhere on the Menu screen and selecting Badges. For this achievement, your goal is to obtain all the bronze badges under the Survive category which are earned through playing "Survive It!" type of venues under the Explore option.
The criteria for all of the bronze badges are as follows:
- Use a Rewind a total of 10 times
- Survive 2 runs in a Survive Event
- Survive your first run with no rewinds
- Survive your first run with no rewinds and no survival gear
I found the easiest way to nail the last two criteria is by playing the Extinguisher Tower -> Wrecking Crew "Survive It!" venue located in the Rockies (North America region). You'll need 5000 SSX credits to unlock the venue but that shouldn't be a problem regardless of where you're at in the game. Play the venue safe, don't rush going down the peak, and just remember every time you complete a "run" through the venue the difficulty increases. After 2 runs, you can't make any mistakes but by that time, you should have already obtained the achievement.
Best of luck!