Bardin has Slayer, Ironbreaker and Ranger for his classes. So, DPS, tank, and something in-between with both melee and ranged capability.
It seems like they all have their previous class or an upgraded version of them, plus two others that fill the missing roles from above. So Sienna will still probably have Bright Wizard, Kerillian will still probably have Waywatcher, etc.
I'm guessing Saltzpyre will have Bounty Hunter for his more ranged option, Witch Hunter for his more variable option, and something like War Priest for his full melee class. Kerillian will have Waywatcher for sniper, Shade for midrange, and something for being focused on up-close killing (Wardancer? Swordmaster? It seems they're playing fast and loose with elf lore, since the fluff for her Shade class doesn't make her a dark elf, it's just her becoming depressed and taking up Khaine worship).
Sienna and Markus are the ones I'm having trouble thinking of.