My predictions:
Barbarian- Axable. With just a few new feats, the present system could let fighters customize into pseudo barbarians. They should get the axe, and have the barbarian abilities available through customization. Will they get the axe? Not sure. Certain players absolutely love the simplicity of the barbarian, and the game has room to hold them.
Bard- Should be axed, and turned into a PRC. They're essentially three classes all mooshed together, plus one iconic ability. That's what PRCs are for.
Cleric- Going nowhere. Spellcasting might get an overhaul, but the class is going nowhere.
Druid- Also going nowhere, though it may get a major overhaul. Expect wildshape to be massively different. It was one of the biggest mistakes in the original rules in terms of elegance of game design, and the designers have admitted as such.
Fighter- Going nowhere, but will probably be very different. I hope it eats some of the classes nearby.
Monk- 50% likely to be axed. With proper support, you could roll this class into Fighter by making unarmed combat and martial arts stylization part of the fighter choices.
Paladin- Should be axed, and turned into a PRC. Make characters earn their way in.
Ranger- Obviously not getting axed because its in the screen shot. Needs a significant overhaul.
Rogue- Definitely not getting axed. Its too iconic. Sneak attack seems likely to get significant edits.
Sorcerer, Wizard- I expect a major overhaul. The only real difference between these two classes is spellcasting mechanic. If spellcasting gets overhauled, there will be less reason for both of them to exist. I expect a class labeled "Wizard," but I don't know if it will resemble the present day wizard or not. I kind of hope for not.