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