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