Here is the full list of all 30 Neophyte achievements.
Win a run on challenge level 1 with the Neophyte
Win a run with the Neophyte
Deal 2,000,000 damage with the Burst spell
Deal 2,000,000 damage with the Fireball spell
Deal 2,000,000 damage with the Power Fist spell
Deal 2,000,000 damage with the Chain Lightning spell
Deal 2,000,000 damage with the Solar Beam spell
Deal 2,000,000 damage with the Whirling Death spell
Deal 2,000,000 damage with the Apparition spell
Deal 2,000,000 damage with the Lava Chakram spell
Win a run on challenge level 2 with the Neophyte
Deal 2,000,000 damage with the Storm Bow spell
Collect 20,000 lifetime gems
Win a run on challenge level 3 with the Neophyte
Use reroll altars 50 times
Win a run on challenge level 4 with the Neophyte
Win a run with the Alchemist
Unlock 20 unlockables
Win a run on challenge level 1 with the Alchemist
Win a run on challenge level 2 with the Alchemist
Win a run on challenge level 3 with the Alchemist
Win a run on challenge level 4 with the Alchemist
Deal 2,000,000 damage with the Ravage spell
Deal 2,000,000 damage with the Ignite spell
Deal 2,000,000 damage with the Lash spell
Win a run with the Oracle
Win a run on challenge level 1 with the Oracle
Win a run on challenge level 2 with the Oracle
Win a run on challenge level 3 with the Oracle
Win a run on challenge level 4 with the Oracle