Here is the full list of all 35 Lode Runner Legacy achievements.
Cleared without dropping a single enemy into a hole.
Clear 10 Adventure levels.
Clear Level 01 of Adventure Mode.
Cleared while still in TimeBonus x3 condition.
Cleared without killing a single enemy.
Clear Puzzle Mode level for the first time.
Clear Classic Mode level for the first time.
Clear a World Level for the first time.
Clear 30 Adventure levels.
Clear 50 Adventure levels.
Clear 10 Puzzle levels.
Clear 30 Puzzle levels.
Clear 50 Puzzle levels.
Clear 10 World levels.
Clear 50 World levels.
Clear 100 World levels.
Clear 50 Classic levels.
Clear 100 Classic levels.
Clear 150 Classic levels.
Submitted a self-created map for the first time.
Submitted a self-created character for the first time.
Submitted a self-created item for the first time.
Buried 100 enemies.
Rode 30 times on the heads of active enemies.
Crossed over the heads of 3 or more active enemies.
Trapped 30 enemies in places where they cannot move.
Seized 50 gold by burying enemies.
Buried enemies and retrieved 3 gold in a row.
Obtained a total of 500,000 points.
Obtained a total of 1,500,000 points.
Obtained a total of 4,000,000 points.
Obtained all 150 stars in Adventure Mode.
Obtained all 150 stars in Puzzle Mode.
Obtained all 300 stars in Classic Mode.
Obtained 900 stars.