Here is the full list of all 14 Wavetale achievements.
Beat Asta's fourth challenge
Beat Asta's first challenge
Beat Asta's second challenge
Beat Asta's third challenge
Leave Night Orchard
Stop the drilling
Restore power to the lighthouse
Save Sleepy Triplets
Meet the shadow hunter
Set off to see the pirates
Save all gloomed up ships
Return to Night Orchard
Complete the story
Hear all of Baines puns