Here is the full list of all 66 Toricky achievements.
Get a Game Over
First Crystar Collected
5 Crystars Collected
15 Crystars Collected
30 Crystars Collected
56 Crystars Collected
Fall into Blue Clouds
1 Perfect Medal Collected
15 Perfect Medal Collected
30 Perfect medal Collected
56 Perfect Medal Collected
All Crystars Collected in the Crytar's Approach
All Crystars Collected in the Mushroom Fortress
All Crystars Collected in the Saphire Lagoon
All Crystars Collected in the Moon Shrine
All Crystars Collected in the Steely Seabed
All Crystars Collected in the Raging Boiler
Area "Broken LightTower" found in the Crystar's Approach
Area "Lake of Purification" found in the Crystar's Approach
Area "Mushroom Fortress" found in the Mushroom Fortress
Area "Prison" found in the Mushroom Fortress
Area "Windmill Tower" found in the Saphire Lagoon
Area "Haunted Mansion" found in the Saphire Lagoon
Area "Underwater Ruins" found in the Saphire LAgoon
Area "Secret Shrine" found in the Moon Shrine
Area "Fire Sanctuary" found in the Crystar's Approach
Area "Final Destination" found in the Crystar's Approach
Collect 1 Pink Crystar
Collect 6 Pink Crystar
Collect 1 Red Crystar
Collect 6 Red Crystar
Collect 1 Light-Yellow Crystar
Collect 5 Light-Yellow Crystar
ZoneMap Completed in the Crystar Palace
ZoneMap Completed in the Crystar's Approach
ZoneMap Completed in the Mushroom Fortress
ZoneMap Completed in the Saphire Lagoon
ZoneMap Completed in the Moon Shrine
ZoneMap Completed in the Steely Seabed
ZoneMap Completed in the Raging Boiler
Unlock MoonBlocks Power-Up
Unlock AquaSphere Power-Up
Unlock BomTaro Power-Up
Defeat 50 Pigra-Solja
Defeat 500 Pigra-Solja
Defeat 50 Pigra-Hunter
Defeat 500 Pigra-Hunter
Defeat 1 TogeZushi
Pigra-Tanker Defeated
OniwaBang Defeated
Kaitei-Destroyer Defeated
Pigra-Cruza Defeated
EmpeRoar Defeated
HellBat-King Defeated
Tanker MK2 Defeated
DigdoZushi Defeated
Ikasu Orochi Defeated
Dogurem-Genbura Defeated
Ancient Weapon Defeated
Goumaru Defeated
Talk with Kaguya in the Crystar Palace
Talk with Lize in the Crystar Palace
Talk with Kazuya in the Crystar Palace
Find the Bed Room
Stay 10 seconds in Flames
Stay 10 seconds on Kaguya's Head