The character which had shown courage in this novel is Phileas Fogg.
He declared that he will travel around the world in less than 80 days, and it was on a bet of 20 thousand pounds. It was enreservedly a risky bet as if he fail to make it, he will lose that huge amount of money and become poor. However he was confident and had such a strong courage to declare so.
Furthermore, while on a journey in a junggle in India, Fogg encountered a group of bandits that were trying to kidnap a lady named Aouda, who was a daughter of a merchant. Fogg broke down the hut where Aouda was kept in and rescued her. He would have been killed if he was caught while trying to save her. This event clearly shows how courageous Fogg was.