Here is the full list of all 12 Leap to the Top+ achievements.
Boot up the game for the first time
Beat the "Leap to the Top" level!
Beat the "Leap in the Sea" level!
Beat the "Leap in the Mall" level!
Beat the "Leaping the Net" level!
Defeat the mad scientist
Fall on the easiest thing to dodge.
Get "Technical Support" to delete your save data
Defeat Flowyss
Beat the "Leaps of Faith" level!
You have collected all of the coins to reach The Top!
Survive at least 120 seconds against the One at the Top