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