There are 14 arenas in the game to ride in. I had to ride in all 14 of them despite previously completing campaign mode which makes me think they are independent to that mode. Here is a list of all the arenas.
Albuquerque
Anaheim
Arlington
Atlantic City
Duluth,
Las Vegas
Kansas City
Las Vegas (different to number 6)
Little Rock
Nampa
Nashville
New York City
Springfield
Tulsa
So go in to Arcade mode, pick a rider, a bull and then an arena. Be sure to survive for the full 8 seconds to ensure the ride is completed. Repeat 13 more times changing the arena each time.
Remember there is no achievement tracking for this achievement so be sure to not miss an arena as you make your way across the list because you wont know which arena you didn't pick. I was unable to find any stat either to show which arenas you've previously rode in.
Lastly it is worth working on the achievement for riding as every rider at the same time as doing this, hitting 2 birds with 1 stone. Check my solution for that achievement by clicking below.