Below are the jobs that you can obtain in Bravely Default II.
Freelancer
Default starting job.
Black Mage
Obtained when Elvis and Adelle join the party.
White Mage
Obtained after defeating Dag and Celene in the Prologue.
Vanguard
Obtained after defeating Dag and Celene in the Prologue.
Monk
Obtained after defeating Horten in the Prologue.
Bard
Obtained after defeating Orpheus in Chapter 1.
Beastmaster
Obtained after defeating Anihal in Chapter 1.
Thief
Obtained after defeating Bernard in Chapter 1.
Berserker
Obtained after defeating the Chapter 1 boss.
Gambler
Obtained after defeating Shirley during the Taking a Gamble quest in Chapter 1.
Red Mage
Obtained after defeating Roddy in Chapter 2.
Ranger
Obtained after defeating Lily in Chapter 2.
Shieldmaster
Obtained after defeating Galahad in Chapter 2.
Pictomancer
Obtained after defeating Folie in Chapter 2.
Salve-Maker
Obtained after completing Quest 047: In Dreams during Chapter 3.
Dragoon
Obtained after defeating Martha in Chapter 3.
Spiritmaster
Obtained after defeating Gladys and Helio in Chapter 3.
Swordmaster
Obtained after defeating Gladys and Helio in Chapter 3.
Oracle
Obtained after defeating the Archbishop in Chapter 3.
Phantom
Obtained after defeating Marla at Savalon in Chapter 4.
Arcanist
Obtained after defeating Vigintio at Wiswald in Chapter 4.
Bastion
Obtained after defeating Lonsdale at Halcyonia in Chapter 4.
Hellblade
Obtained after defeating Adam during Chapter 4.