Here is the full list of all 13 Pro Gymnast Simulator achievements.
Earn all medals in California and Tokyo
Earn over 50,000 points in a single trick
Complete 15 different levels without using "focus"
Complete all challenge levels and arena in Santa Monica Championship
Earn all medals in Santa Monica Championship
Complete all challenge levels and arean in Tokyo Bay Finals
Earn all medals in Tokyo Bay Finals
Complete all challenge levels and arena in Tokyo Bay Qualifiers
Earn all medals in Tokyo Bay Qualifiers
Complete all challenge levels and arena in Oceanside Pier Training Ground
Earn all medals in Oceanside Pier Training Ground
Complete all challenge levels and arena in Venice Finals
Earn all medals in Venice Finals