For example, I would say 
Annie because her infinite stun/burst/tibbers. The fact that one flash+ult on a grouped enemy could turn the tides of the game and make you win to victory.
(Please do not give me an essay about how any champ can carry a game depending on how you play or w.e, Just PICK a champion that you find/seen carry a team to victory)
PS: ADC'S DO NOT COUNT.
MrPerson101 votes
Both have a great early game to take advantage of, great gap closers, more than sufficient damage, build in defensive (passives + pantheon W passive reset) and scale well into the mid-game.
19 19 191 votes
Aatrox feels suuuuuuuuuuuuuuuuuper squishy compared to Shyvana and Sion for a champion that has a "Tank" name for a secondary
MrPerson101 votesHe only feels squishy if you don't take advantage of his superior early game over most tops. I spammed Aatrox in Season 4 from low silver - high gold on my first account, I found that if you don't take and hold an early game lead, you fall off really hard.
If you can take advantage of his early power though, you can quite easily carry through the mid-game being a full item ahead, sometimes two in lower elo.
19 19 191 votesHe only feels squishy if you don't take advantage of his superior early game over most tops. I spammed Aatrox in Season 4 from low silver - high gold on my first account, I found that if you don't take and hold an early game lead, you fall off really hard.
If you can take advantage of his early power though, you can quite easily carry through the mid-game being a full item ahead, sometimes two in lower elo.
I saw nightblue this morning play Aatrox jungle, he was fed AF but then he suddenly got weak late game. Aatrox needs a buff. lol
MrPerson101 votesYeah, like I said he scales well into the mid-game. Falls off REALLY hard in the late-game. I used to watch N0D1CE all the time during his Aatrox spamming phase. His kit rivals Pantheon's in ganking potential, and imo, he's more fun to play. But on the same end, you have to be able to close out games by around the 30 minute mark or before to really be maximizing his potential.
Veraska1 voteswukong hard carries, dmg plus AOE cc is best for carrying.
you'll see guys like amumu, jarvan, wu, leona all have higher winrates because AOE cc is king.
MrPerson102 votes 
rude combo
Lysdexic11 votes
has one of the best teamfight winning ultimates in the game, great pushing power, and a lot of team utility.
SlytherinUmbreon1 votes-insert essay here-
shadecrapper1 votes
NoMonku1 votesTo me there are two kinds that can easily carry. Champions who have high mobility, which links to having high outplay potential, are usually the ones who can do this easily. 
can easily solo carry games. The other kind are champions who can 100-0 a target easily at ANY point later in the game if they catch them out of position.