Here is the full list of all 15 DC League of Super-Pets: The Adventures of Krypto and Ace achievements.
Fill Chips Safety Meter
Fully Upgrade Energy Twin
Fill Mertons Safety Meter
Fully Upgrade Dodge Force
Fill PBs Safety Meter
Fully Upgrade Amazon Resistance
Fully Upgrade your Health Meter
Fully Upgrade your Stamina Meter
Achieve a Doggo Rating
Complete your First Adoption
Defeat the SnakeBot
Defeat the OctoBot
Defeat Lex Luthor
Finish a level with at least 85 percent health
Finish a level without destroying a LexBot