I decided to make a list of the "most hated" characters in league of legends. Now I know people have their own views of this, every champion is probably hated by someone in the world. But here's a list of the ones that are commonly accepted.
Aatrox: slow, knock up engage, his passive that lets him turret dive everything, healing or extra damage toggle, melee nuke ult
Akali: her passive is pretty op. plus her ap scaling and everything
Amumu: double stuns are never fun
Blitzcrank: speaks for itself, but grab, knockup, silence, mana shield.
Cho'Gath: rupture, feast (nobody likes a true damage ult, Cho'Gath)
Darius: one of my personal hatreds. Armor pen. pull, slowing W, hemorrhage, true damage ult
Fiddlesticks: 3 second fear, drain, bouncing silence, CAWCAWCAWCAW
Fiora: her ad scaling and that damn ult
Fizz: I hate him so much.... his jump and his ult mostly
Gangplank: crit gun is annoying as all hell, healing with an orange, global ult
Garen: spin to win, increased speed ability, silence, and his ult
Jax: his jump and dodge abilities
Jayce: I personally love jayce, but a lot of people hate his mercury cannon
Kassadin: silence, slow, teleport ult
Katarina: shunpo and death lotus
Kayle: slow, healing and invincibility ult
Lux: root, slow, and DEMACIA ult
Maokai: another one of my favorites. slow, root, and sapling toss
Master Yi: alpha strike, healing, and his ult
Miss Fortune: slowing damaging circle and her ult
Nidalee: spear throw. 'Nuff said.
Olaf: axe throw, life steal ability, unable to be disabled ult
Pantheon: one of Necro's favorites. crit spear at under 15% health, stun, shield passive, teleporting ult
Rengar: he's just really damn strong. not really any abilities in general
Singed: his poison kills everything and his ult gives him mana and heals him and makes him faster. plus his throw
Teemo: the most hated character in LoL. his movement speed, poison, blind, and the stupid mushrooms
Thresh: I love Thresh XD. but his pull, his other pull, and his ult
Tryndamere: his crit. and his undying rage.
Varus: his arrow shot
Vi: her ult, vault breaker, and denting blows
Xin Zhao: I have a vendetta against xin. but his knock up, healing passive, and spear charge
Zed: his damage late game is ridiculous
Well that's about it. I know it's a lot, but people like to bitch a lot. I don't hate all of them but a lot of people do.