Here is the full list of all 22 Grapple Dog achievements.
Let Pablo have a nap for a bit
Collect all Gold Time Trial Medals
Achieve 100% Completion
Collect 22 Gold Time Trial Medals
Collect 11 Gold Time Trial Medals
Collect all Purple Gems
Complete World 6
Complete World 5
Collect 75% of all Purple Gems
Complete World 4
Complete World 3
Collect 50% of all Purple Gems
Complete World 2
Collect 25% of all Purple Gems
Knock down a Coconut with your Grapple
Complete a Time Trial
Complete World 1
Complete a Bonus Stage
Get a score of 10000 in Boomerang Bandit
Pet the Dog
Complete a Stage
Give a Goat a Carrot