Here is the full list of all 36 Asteria achievements.
Craft 10 Items
Mine 10,000 Blocks of Material
Craft a Steel Mining Tool
Kill 100 Enemies
Kill 100 Crawlers
Craft an Iron Mining Tool
Craft a Copper Mining Tool
Craft a Silver Mining Tool
Craft a Gold Mining Tool
Craft a Darksteel Mining Tool
Craft an Adamantium Mining Tool
Craft an Obsidian Mining Tool
Craft an Einsteinium Mining Tool
Equip the Keys of the Kingdom
Kill 500 Enemies
Kill 1,000 Enemies
Kill 20 Drakes
Kill 20 Flame Drakes
Kill 10 Turrets
Kill 10 Floating Turrets
Kill 10 Grenade Turrets
Kill 50 Exploders
Kill 10 Brunnen
Craft a Disruptor
Craft a Laser Rifle
Craft a Homing Missile
Craft a Grenade Launcher
Craft a Flame Thrower
Craft a Bose Einstein Condenser
Craft 50 Items
Craft 100 Items
Place 5,000 Blocks
Place 10,000 Blocks
Place 50,000 Blocks
Mine 100,000 Blocks of Material
Mine 250,000 Blocks of Material