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