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