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