I'm never sure if you actually watch these shows, or if you just want to know if similar characters/charateristics exist in anime/manga...
It just started, but Komuro Takashi from
Highschool of the Dead. He lacks the fighting skill of his friends, but due to his determination the other survivors of the zombie apocalypse follow him.
Additionally, "Hero" from
Mahoujin Guruguru is treated quite badly by everyone, but because the "Chosen One" of the series sees him as a Hero, everyone else is forced to...
Parn, from
Record of Lodoss War, also follows this path, starting as a nobody that slowly becomes the leader of a group despite his lack of skill (early on)...
Luke from
Tales of the Abyss: Starts off as a spoiled rotten brat that various characters follow because they have, but he eventually matures to the point where the other characters want to follow him...