Chrono Cross is the second game of the Chrono series but with an all new cast, setting and world.
More info from Wikipedia:
“The story of Chrono Cross focuses on a teenage boy named Serge and a theme of parallel worlds. Faced with an alternate reality in which he died as a child, Serge endeavors to discover the truth of the two worlds’ divergence. The flashy thief Kid and many other characters assist him in his travels around the tropical archipelago El Nido. Struggling to uncover his past and find the mysterious Frozen Flame, Serge is chiefly challenged by Lynx, a shadowy antagonist working to apprehend him.”