Here is the full list of all 15 Necore Tower - there are Redux Edition Demo achievements.
This is my sword, there are many like it but this one is mine. Swing it for the first time
First Magic Use
First Physical Upgrade
Collect Your First Mana Gem
Get Your First Ore Stone
Rustled Up Some Gold For Those Empty Pockets
Buy Your First Potion
Upgrade Your Magical Ability By Reading... Yes, Reading...
Talk to the crimson guard for the first time
Start a New, New Game. I choose Charmander. You gotta choose Squirtle.
Congrats, you've died!
Er. I mean stones. Max out your Orestones
Slightly improve the stew with gourmet ingredients. Beware viral infections though.
The old man has taken your excess gold. As if you had anywhere else to spend it anyways.
You've maxed out your mana gem pockets. Perhaps it's time to start selling magic carpets.