Since the church is known for its community outreach, it would be a good idea to do research on how the early church in the New Testament performed outreach. Some good sources in the New Testament include the Book of Acts and much of the apostle Paul's epistles. For example, in the book of Acts, the early church didn't focus heavily on social activism but their main mission was to teach the gospel to those around them although they provided material goods when needed.
Throughout the gospels, Christ tells his followers that they will have to endure persecution for their faith, and for centuries, millions of Christians have been martyred and are still facing imprisonment and death for their faith in Christ. You can narrow this research topic by writing about the current Christian persecution that is taking place in Asia and Africa. One good website to get initial information is Voices of the Martyrs at www.persecution.com. Also read Foxe's Book of Martyrs along with a few religious academic journals such as Journal of Biblical Studies and American Journal of Biblical Theology.
Another good idea is to discuss the views that Christ and the apostles in church history had concerning women. In the gospels, Christ had compassion for women and sought to heal them of their spiritual and physical infirmities. There's the story of the woman who was forgiven by Christ for committing adultery when the religious leaders wanted to stone her to death. And there's also the story of the woman in Samaria who was spiritually broken and Christ restored her soul. And in the early church, women were involved in missionary work.