Name one truly broken/op champ for each role
one for top,mid,jungle,adc,support
based on: waveclear and sustainability damage output wether AP or AD CC output teamfight capabilities winrate pushing ability fight survivability what you have to build to make them do well scaling base stats other(you must include other)
EDIT: I forgot to add my personal picks and why
top: For me? jax or nasus. jax because trying to counter him with a decent tank top or non ranged top is really hard and there are very few ranged tops that go well into late game that do counter him plus his split pushing is really good with the ult passive that procs on turrets
nasus: because sure early game he can be countered and shut down, but nasus is the only one that if his team can 4v4/4v5 until he cant get 300+ stacks late game, will become a splitpushing monster nearly 2 or 3 hitting turrets and/or champions (I have one hit an enemy adc before with 600stacks on nasus before) The rest of him is balance but compared to all the other scaling champions who have infinite scaling thresh: armor and ap veigar: AP sion:health bard: chimes nasus is the only one that stacks so fast if he is allowed to farm
thresh has to wait for big monsters/minions for souls or a random chance drop veig is only +1ap per thing dead by Q sion is only +2 health per minion killed and bards chimes dont spawn very fast
mid: I would have to say talon
even though he has mana talon is the better AD mid than zed is, i mean he can teleport behind you in an instant and procs a crit then slow you and do more dmg because you are slowed then ult out of there invis and finish you off with the blades
jungle: nunu
sorry but nunu is broken to me right now
Ive been maining jungle nunu against lee's vi's and zed's and Ive won 70% of the games (the 30% losses were trolls feeders ect) the fact that he has possibly the fastest level 2 solo dragon out there right after red buff is broken alone, but his sustain is infinite, the only way i ever need to back as nunu is If I need to shop or get killed my enemies, the jungle monsters never can send me back
adc: I feel like cait is the most op right now... mainly because of her range
she has the highest range of all marksmen making it very easy to zone your opponents out from farming without getting poked
and as for support: really its a tie between leo and morg/lux
leo: because lets face it all four of her moves deal CC Q: stun W: sheild+slow E:snare/pull leo to enemy R: stun AND slow
plus she is naturally tanky
shes not really broken as her kit is nice and unique but she is pretty OP because of it
morg/lux because of the forever snares (Q's)
Large amounts of cost-less hard CC, mobility, and %max hp magic damage.
Jungle:
Ultimate self-sustain (scuttle crab heals you up like crazy) hard CC into hard CC, %max hp magic damage on a spammable ability. Only really needs Spirit Visage and Cinderhulk to be a terror.
Mid:
AD scaling everything with no mana constraints. %max hp magic damage while building AD.
Support:
No matter how far behind he is, no matter how much he has fed, if he hooks you late game he might win his team the game. Also crazy strong CC with huge AP ratios on said CC.
Adc:
Infinite scaling damage nuke that scales with AD and Attack Speed, ability to kite out pretty much all fighters, not gated by mana once you get a 
Jungle:
Mid:
Supp:
ADC: 