Gladiator - Mystic Knight/Rune Fencer
Whatever you want to call it, this class has been leaning more towards the Magic Defense side of tanking in recent FF entries (FFXI, Bravely Default) so their skills would probably mesh well with the Gladiator's skills.
Pugilist - Dancer
The support side of the Pugilist class. As someone has said before, they could use their stances to perform different dances for either buffing, debuffing, or healing their allies (whichever route they want to go in).
Marauder - Berserker
The offensive Marauder. Berserkers will focus moreso on boosting their attacks to deal massive damage in short bursts.
Lancer - Templar
Templars would focus on inflicting debuffs by using combos to cause a wide variety of status effects on foes.
Archer - Ranger
DPS Archer.
Conjurer - Geomancer
There aren't really too many classes Conjurer could branch out to except Geomancer and Elementalist of which the latter basically acts like a CNJ. They could focus on using the land energies for attacks and they should also get staves that look like bells.
Thaumaturge - Time Mage
Haste, Slow, Gravity, Float, Countdown, etc. Yeah, Time Mage has a LOT of potential and would be more of a support type THM.
New Classes
Musketeer - Corsair and Chemist
Corsairs seem like pretty much a shoe-in for the Musketeer class considering where the guild is and what they are. Chemist would add another healing class that's greatly needed.
Scout - Thief and Ninja
As an above poster said, Dual Daggers that turn into Dual Katana for the Thief and Ninja job. Thieves would focus on positional DPS like Pugilists, with more emphasis on support/debilitating skills and Ninja could be more of a DD with Ninjutsu.
Fencer - Red Mage
Red Mage would be a class that needs to balance using Physical and Magical attacks to make the most of them.
Ronin - Samurai and Swordmaster
Samurai would have an emphasis on long, complex combos for massive damage while Swordmaster would be akin to the Bravely Default and Tactics Ogre (as well as Dunban from Xenoblade) class and be more of an evasion/parry tank.
Shaman - Druid
The 4 Heroes of Lights crown could return in this game and could play more like THM in 1.0 in that they'll be a healing class that drains life from themselves and others to heal their allies.