Here is the full list of all 34 The Future Project achievements.
Finish the game
Get 100% of items and defeat the final boss
Finish the game on Hard mode
Clear the game with 20% item collection or less
Clear the game with 20% item collection or less on Hard mode
Defeat the Final Boss in under two minutes
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Find all Damage Multipliers
Defeat a Flycicle using Earth.
Defeat an enemy (except Swoling or any bosses) by burning it.
Defeat an enemy (except Swoling or any bosses) by freezing it
Defeat an Alien Remnant enemy using Electricity
Defeat an Ice Clad without getting behind it
Freeze a Swole Mother, then defeat it
Inflict every status condition on an enemy (except Swoling or any bosses) before defeating it.
Uncover the entire Alien Remnant town area on your map
Reach a platform in Distant Sibling that looks sort of like something should be there...
Acquire the Strafe item
Acquire the Missiles and defeat Forest's Greed
Acquire the Air Dash item
Acquire the Fire item
Acquire the Ice item
Acquire the Earth item and defeat the Saboteur
Acquire the Fall Suppression item
Acquire the Double Jump item and defeat King's Assassin
Acquire the Electricity item and defeat the Saboteur
Acquire the Aether item
Acquire the Time Warp item
Clear the game in 6 hours or less
Clear the game in 3 hours or less
Clear the game with 100% item collection in 8 hours or less
Clear the game with 20% item collection or less in 3 hours or less
Defeat All's Eye
Finish the game on Master Mode