Here is the full list of all 39 Rift Adventure achievements.
Find your first secret passage
Buy your first item
Finish the tutorial
Win the tutorial race against Krinis
Lose the tutorial race against Krinis
Destroy 10 sack dummies
Explode or break 200 blocks
Kill 70 bats
Kill 40 snakes
Eat 30 carrots
Break 120 vases
Collect 50 gems
Perform 100 critical hits
Deal 5000 damage with attacks from behind
Deal 2000 damage with bombs
Heal 1000 hp from lifesteal
Reach a shameful level of smuggling deals
Finish a stage without killing any enemy
Survive the "Pain Dungeon" stage without taking damage
Accumulate 6000 gold
Find 9 secret passages
Find all game's secret passages
Collect 15 stars from clearing stages
Collect 35 stars from clearing stages
Collect 60 stars from clearing stages
Defeat Agonia, the Executioner
Defeat posessed Krinis
Defeat Diakatara, Zestacy guardian
Defeat Diaphores
Finish Rift Adventure with the city at least level 1
Finish Rift Adventure with the city at least level 2
Finish Rift Adventure with the city at least level 3
Finish Rift Adventure with the city at least level 4
Finish Rift Adventure with the city at least level 5
Finish the game without using Hospital services
Finish the game without buying any item
Finish the game without doing business with Glenn, the smuggler.
Finish the game in less than 3 hours
Unlock All Achievements