Here is the full list of all 63 Heroes of Hellas Origins: Part One achievements.
For solving six puzzle levels
For solving three puzzle levels
For collecting 60,000 tokens
For activating 3,500 bombs and lightning bolts
For destroying 6,000 monoliths
For collecting 60 shells
For completing the game and restoring the underwater world
For asking for a Hero's help 500 times
For collecting 200 Phoenix feathers
For collecting 6,000 coins
For removing 1,500 storm clouds
For collecting 150 treasure chests
For removing 1,000 earth tiles
For asking for a Hero's help 250 times
For completing 80 levels without Poseidon's help
For collecting 150 gems
For destroying 2,500 monoliths
For making 5,000 chains
For playing for 500 minutes
For collecting 30 shells
For removing 1,000 storm clouds
For collecting 500 golden tiles
For collecting 100 Phoenix feathers
For collecting 20,000 tokens
For collecting 2,000 coins
For completing 40 levels without Poseidon's help
For watching the underwater kingdom without moving the mouse cursor for 60 seconds
For asking for a Hero's help 30 times
For activating 500 bombs and lightning bolts
For making 1,000 chains
For completing 20 levels without Poseidon's help
For collecting 30 treasure chests
For collecting 3,000 tokens
For removing 100 earth tiles
For collecting five shells
For collecting 300 coins
For collecting 20 gems
For collecting 30 golden tiles
For activating 30 bombs and lightning bolts
For destroying 80 monoliths
For collecting 1,300 golden tiles
For removing 1,500 earth tiles
For collecting 400 gems
For collecting 500 treasure chests
For collecting 300 Phoenix feathers
For making 15,000 chains
For collecting 10,000 gold coins while playing Gold Fever levels
For collecting 20,000 gold coins while playing Gold Fever levels
For collecting 40,000 gold coins while playing Gold Fever levels
For collecting 3,000 gold coins while playing a Gold Fever level
For collecting 5,000 gold coins while playing a Gold Fever level
For collecting 7,000 gold coins while playing a Gold Fever level
For completing 30 levels with golden time in Normal mode
For completing 70 levels with golden time in Normal mode
For completing 100 levels with golden time in Normal mode
For completing 20 levels with golden time in Advanced mode
For completing 60 levels with golden time in Advanced mode
For completing 90 levels with golden time in Advanced mode
For playing for 1,500 minutes
For solving nine puzzle levels
For building every extra decoration
For completing 20 levels without quitting
For completing 40 levels without quitting