Finished watching the first 24 episodes of the series, want to continue the story reading the manga, where should i begin?

Bonus question!
What am I missing if I just skip to the chapter from the OP question?

EDIT: at the time of the original posting of this question, it was uncertain if they would continue the anime series. As of the spring/2015 season, Nisekoi was featured, and new episodes will push the story further.