Are you asking about churches because you're seeking a church for yourself in which to worship, or are you a student looking for help with a school assignment? I'll answer the questions either way, but -- putting my professor's hat on -- make sure to cite the Christian Forums web site as a source in your paper (clearly marking and attributing any quotations) if this is a school assignment.
Denominations on the conservative side of the 19th/20th/21st century American Protestant schisms include:
Lutheran: Lutheran Church-Missouri Synod, Wisconsin Evangelical Lutheran Synod
Baptist: Southern Baptist Convention, Venture Church Network (formerly the Conservative Baptist Association of America), General Association of Regular Baptists
Reformed: Presbyterian Church in America (not to be confused with the PCUSA), Orthodox Presbyterian Church
Anglican: Anglican Church in North America
You might find the Wikipedia page on the Fundamentalist-Modernist Controversy (
Fundamentalist–modernist controversy - Wikipedia) to be useful in your research. It gives a reasonably good overview of the history of the controversy, with a list of books and articles at the end for further reading. Once again, if this is for an assignment, cite your sources.