Annie C Hastur's SoloQ Sleeper OP list.
From S1 Jax to jungle AD Evelynn (which I had not lost a ranked game on) and 10% mana ratio Ryze, as well as more recent things like the ryze of Maokai and Rammus jungle ( http://forums.na.leagueoflegends.com/board/showthread.php?t=4698892&highlight=annie+hastur ), I've been ahead of the curve in figuring out the game's most broken champions long before there was any sort of consensus or discussion on them. Here's your ticket to getting 3 months ahead. Some of the champions listed will already be known powerhouses, while others will be ones that you won't start hearing about for weeks or even months.
Top Lane: Gnar, Warwick, Rumble, Wukong, Heimerdinger, J4, Tryndamere, Akali, Malphite
Mid Lane: Katarina, Annie, Fizz, Brand, Anivia, Malzahar, Vel'koz, Xerath
Bot Lane: Sona, Janna, Fiddlesticks, Blitzcrank
ADC: Jinx, Sivir, Corki, MF, Draven
Jungle: Rammus, J4, Fiddlesticks, Wukong, Warwick, Sejuani, Maokai.
- italics denotes a champion that is unsafe to first pick. For top lane specifically, it means champions who can't stop Nasus free farming.
Good luck with your free elo!