Jungler: Vi, Amumu, Wukong
Vi is just absurdly strong now. Her clear times are amazingly strong thanks to the mana sustain from the new jungle item. In a teamfight, your role couldn't be easier: Wait for their team to line up, and ult their carry. For ganks, learn her combo right: (No ult) hit with Q, auto, and E immediately after the auto. (With ult) Ult, immediately Q after ult goes off, auto, E immediately.
Amumu actually got nerfed with the reduction in mana on Spirit Wraith, but he's still so strong. A 4 or 5 man ult will win an entire teamfight single-handedly. Very easy to master.
Wukong: Scales the best from early game, but has no CC. Ganks are easy to pull off because he has no skill shots. However, his teamfight presence is one of the best in the game. His ult can pull off 600-800 AOE damage, and it knocks up their whole team. Excellent for peeling or engaging.
Mid: Kassadin (if unbanned), Ahri, Gragas, Ziggs
Kassadin is OP. He's banned 90% of the time so don't expect much.
Ahri - She has a good enough early game, but her scaling into lategame is really strong. She is the perfect mid for the current meta of being able to roam during the laning phase, but also having AOE damage for a teamfight. However, she's definitely the hardest to play.
Gragas - Strong AOE, strong laning, practically impossible to push out of lane. His ult is another one that can turn teamfights.
Ziggs - Easy to play, easy to learn, no combos to master. His range is super strong, his AOE is almost brokenly strong, and his ult can do 600 damage in a giant radius.
Top: Nasus, Shyvana, Renekton, Teemo
Nasus - He's on here because of his sheer ability to 1v5. However, you'll need to depend on your team to be able to at least defend objectives until 20 minutes or your whole point is moot. Nasus sits top and farms his Q until it's around 300-500, and at that point he can start 3-hitting carries.
Shyvana: She's broken in that she can build pure tank and still do a shit ton of damage. Really easy to play.
Renekton: Harder to play than the others because he relies on combos, but Renekton is a strong laner and his teamfight AOE damage is really good as well.
Teemo: He can win a game simply by camping top and split pushing all day. His shrooms are OP, and I expect within 2 patches they will reduce the time to 5 minutes instead of 10 minutes. While he draws 1 or 2 people top to stop his push, your team can up any objectives like dragon or towers.