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