Here is the full list of all 40 Tobari 2: Dream Ocean achievements.
Obtained your first magic!
Cleared your first stage!
Bought your first item!
Obtained your first Star Fragment.
Cleared World 1! Marin
Obtained all the Star Fragments in World 1
Defeated the World 1 boss, Marin, without taking damage.
Cleared all World 1 stages.
Cleared World 2!
Obtained all World 2 Star Fragments.
Defeated the World 2 boss, Aqua, without taking damage.
Cleared all World 2 Stages!
Cleared World 3!
Obtained all the World 3 Star Fragments.
Defeated the World 3 boss, Aqua and Marin, without taking damage.
Cleared all World 3 stages!
Cleared World 4!
Obtained all the World 4 Star Fragments.
Defeated the World 4 boss without taking damage.
Cleared all World 4 stages!
Cleared World 5!
Obtained all the World 5 Star Fragments.
Defeated the World 5 boss without taking damage.
Cleared all World 5 stages!
Cleared World 6!
Obtained all World 6 Star Fragments.
Defeated the World 6 boss without taking damage.
Cleared all World 6 stages!
Retried 100 times!
Spent more than a total of 10000 coins in the store.
Beat the game with less than 20 deaths.
Beat the game in less than 120 minutes.
Cleared up to World 6 without using the store!
Cleared the Extra World!
Obtained all the Extra Stage Star Fragments!
Defeated Nightmare Tobari without using the store!
Cleared the Extra World within 3 hours!
Cleared all the stages in this world!
Obtained all the Star Fragments of this world!
Completed all the Collection achievements!