Here is the full list of all 46 Hearts of the Dungeon List achievements.
Trigger an event.
Level up 1 bestiary entry.
Catch your first fish!
Clear the first dungeon.
Perfect 1 dungeon.
Defeat Moelee!
Defeat Barapple!
Defeat Hoober!
Defeat Potts!
Tumby... yuck.
Defeat Grubby!
Defeat Toof!
Defeat Moown!
Defeat Darkel!
The end...?
Defeat Herb!
Defeat Meron!
Defeat Waddles!
Defeat Genro!
Defeat Pinkurabu!
Defeat Gewbear!
Defeat a LOT of Yama-Mite!
Defeat The Plothole!
Help Kalar!
For now...
Clear 100 dungeons.
Perfect 100 dungeons.
A turning point...
Reach the 15th battle in adventure.
Level up 100 bestiary entries.
Clear 50 dungeons.
Clear 25 dungeons.
Perfect 50 dungeons.
Perfect 25 dungeons.
Level up 50 bestiary entries.
Get an ability to max level.
Level up an ability.
Change an equipped ability.
Achieve the first fishing goal.
Achieve the second fishing goal.
Achieve the third fishing goal.
Achieve the fourth fishing goal.
Catch every fish.
"PERFECT Catch" every fish.