Here is the full list of all 15 VRQB achievements.
Score a touchdown in Classic
Score a touchdown in Two Minute Drill
Score a touchdown in Scramble
Finish a game mode with 50% accuracy (minimum 10 passes)
Finish a game mode with 75% accuracy (minimum 10 passes)
Finish a game mode with 100% accuracy (minimum 10 passes)
Score 5 touchdowns in Scramble on Hard Difficulty
Complete Classic mode in less than 1 minute
Complete Classic mode in less than 2 minutes
Complete Classic mode in less than 3 minutes
Score a touchdown in any game mode using the Rock
Achieve a score of 5000 in any game mode
Achieve a score of 7500 in any game mode
Achieve a score of 10000 in any game mode
Score a touchdown in Scramble on Hard difficulty