Here is the full list of all 26 Blade Assault achievements.
Acquire all types of Gears.
Upgrade Kil’s weapon [Evil Hunter] to Lv.5.
Upgrade Kil’s weapon [Inquisitor] to Lv.5.
Upgrade Kil’s weapon [Destroyer] to Lv.5.
Upgrade Darcy’s weapon [Silence] to Lv.5.
Upgrade Jenny’s weapon [Sidewinder] to Lv.5.
Acquire all types of Cryo Cores.
Acquire all types of Ignition Cores.
Clear Assault Level 10.
Clear Assault Level 8.
Acquire all types of Electric Cores.
Summon [Jira] as Jenny.
Clear Assault Level 5.
Clear Assault Level 3.
Upgrade all passives taught by Jack to the maximum level.
Increase all resistance member’s friendship levels to the maximum.
Defeat the chapter 6 final boss, Ouranos.
Defeat the chapter 6 boss, Panus.
Defeat the chapter 6 Commander, Electra.
Defeat the chapter 5 boss, Cyclops.
Defeat the chapter 4 boss, Plantos.
Defeat the chapter 3 boss, Charlotte.
Defeat the chapter 2 boss, Ratmotan.
Wake up in Hank’s room after your first death.
Defeat the chapter 1 boss, Mac.
Wake up in Hank’s room after falling from Esperanza.