At the moment the achievements are SIGNATURE-ONLY. Maybe they will be later included. Official Thread: http://www.minecraftforum.net/topic/299201-official-industrialcraft-signature-achievements/
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The codes are all BB-Codes.
Real IC fan!
Requirement: You downloaded the v6.50 before it was cut.
Read the FAQ!
Requirement: Read the FAQ of the MainPost.
Requirement: Be a registered member of the Wiki.
Imma firin mah lazor!
Requirement: Shoot the first time with a Mining Laser.
Master of the MFSU
Diamond Drill 4 ever
Requirement: Craft a Diamond Drill.
Requirement: Kill a zombie with a Chainsaw.
Requirement: Destroy a Monster Spawner with your Chainsaw
It's over 135.0!
Requirement: Get a Ore-Density over 135.0 with your OD Scanner.
Requirement: Charge your first RE Battery.
Requirement: Build your first Nuclear Reactor.
Requirement: Your Nuclear Reactor has to explode.
Better than iron
Requirement: Refine your first iron ingot.
Requirement: Macerate your first ore.
New ore miner
Requirement: Get a full Nano Suit Set.
Requirement: Craft a Composite Armor.
Let the capitalism roll
Requirement: Craft a Stack of Industrial Credits. (The niner stack IC).
Requirement: Fly with a Jetpack up to the sky until it's empty and let you fall down into your death.
I love Nukes
Requirement: Craft a Nuke.
Requirement: Die by a Nuke, you have ignited.
Requirement: Defuse a placed Nuke.
Requirement: Craft every secret at least one time. (If you don't know all secrets, it's your fault :P ).
Requirement: Kill a creeper with ITNT.
Terraform the world!
Requirement: Terraform the world with every program.
2 lazy 2 mine
Requirement: Start mining with an Automated Miner.
Nicola saved my house!
Requirement: Kill a mob or player with a Tesla Coil.
Requirement: Place two HV Transformer and connect them.