Here is the full list of all 27 Azur Lane Crosswave achievements.
You've completed Azur Lane: Crosswave!
You've viewed all events that can occur in Story Mode!
You've made your first Pledge!
You've seen every character's Episodes!
You've repelled all rival fleets!
You've completed the Gallery Mode!
You've succeeded in Cognition Awakening!
You've viewed the ending of Story Mode!
You've acquired a very rare piece of equipment!
You've added a new ally!
You've defeated countless enemies!
You've completed the Final Chapter's report!!
You've completed Chapter 6's report!
You've completed Chapter 5's report!
You've completed Chapter 4's report!
You've completed Chapter 3's report!
You've completed Chapter 2's report!
You've completed Chapter 1's report!
Report: Recording Initialized.
Strengthened a Skill!
You responded to Akashi's request!
You purchased goods from Shiranui!
You achieved victory with the highest rank!
You achieved victory with an excellent rank!
You completed a rigging change!
You've just started the fun days with your Secretary Ship.
Brave new waters with your excellent Secretary Ship!