Here is the full list of all 17 Totemori achievements.
Play 50 versus rounds.
Stack 2000 boulders.
Play 30 versus rounds.
Stack 1000 boulders.
Play 15 versus rounds.
Stack 500 boulders.
Play 5 versus rounds.
Stack 100 boulders.
Play 50 rounds.
Play 50 co-op rounds.
Play 30 rounds.
Play 30 co-op rounds.
Play 15 rounds.
Play 15 co-op rounds.
Play 5 rounds.
Play 5 co-op rounds.
Complete the tutorial.