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