I thought these definitions were pretty good. I got them from here. According to these definitions I would best be described as neo-evangelical.
Pietism and Methodism
The German Pietist movement, together with the influence of the Puritan Reformation in England in the seventeenth century, were important influences upon John Wesley and Methodism, as well as through smaller, new groups such as the Religious Society of Friends (“Quakers”) and the Moravian Brethren from Herrnhut, Saxony, Germany.
The practice of a spiritual life, typically combined with social engagement, predominates in classical Pietism, which was a protest against the doctrine-centeredness Protestant Orthodoxy of the times, in favor of depth of religious experience. Many of the more conservative, Methodists went on to form the Holiness movement, which emphasized a rigorous experience of holiness in practical, daily life.
Evangelicalism
Beginning at the end of eighteenth century, several international revivals of Pietism (such as the Great Awakening and the Second Great Awakening) took place across denominational lines, which are referred to generally as the Evangelical movement. The chief emphases of this movement were individual conversion, personal piety and Bible study, public morality often including Temperance and Abolitionism, de-emphasis of formalism in worship and in doctrine, a broadened role for laity (including women) in worship, evangelism and teaching, and cooperation in evangelism across denominational lines.
Adventism
Adventism, as a movement, began in the United States in middle nineteenth century. The Adventist family of churches are regarded today as conservative Protestants.[12]
Modernism and Liberalism
Modernism, Liberalism, or Sunderianism does not constitute a rigorous and well-defined school of theology, but is rather an inclination by some writers and teachers to integrate Christian thought into the spirit of the Age of Enlightenment. New understandings of history and the natural sciences of the day led directly to new approaches to theology.
Pentecostalism
Pentecostalism, as a movement, began in the United States early in the twentieth century, starting especially within the Holiness movement. Seeking a return to the operation of New Testament gifts of the Holy Spirit, speaking in tongues as evidence of the “baptism of the Holy Ghost” or to make the unbeliever believe became the leading feature. Divine healing and miracles were also emphasized. Pentecostalism swept through much of the Holiness movement, and eventually spawned hundreds of new denominations in the United States. A later “charismatic” movement also stressed the gifts of the Spirit, but often operated within existing denominations, rather than by coming out of them.
Fundamentalism
In reaction to liberal Bible critique, fundamentalism arose in the twentieth century, primarily in the United States and Canada, among those denominations most affected by Evangelicalism. Fundamentalism placed primary emphasis on the authority and sufficiency of the Bible, and typically advised separation from error and cultural conservatism as an important aspect of the Christian life.
Neo-orthodoxy
A non-fundamentalist rejection of liberal Christianity, associated primarily with Karl Barth, neo-orthodoxy sought to counter-act the tendency of liberal theology to make theological accommodations to modern scientific perspectives. Sometimes called “Crisis theology”, according to the influence of philosophical existentialism on some important segments of the movement; also, somewhat confusingly, sometimes called neo-evangelicalism.
Neo-evangelicalism
Neo-evangelicalism is a movement from the middle of the twentieth century, that reacted to perceived excesses of Fundamentalism, adding to concern for biblical authority, an emphasis on liberal arts, cooperation among churches, Christian Apologetics, and non-denominational evangelization.
Paleo-Orthodoxy
Paleo-orthodoxy is a movement similar in some respects to Neo-evangelicalism but emphasising the ancient Christian consensus of the undivided Church of the first millennium AD, including in particular the early Creeds and councils of the church as a means of properly understanding the Scriptures. This movement is cross-denominational and the theological giant of the movement is United Methodist theologian Thomas Oden.
Tim, thanks for outlining this. It’s quite helpful.
Keep in mind, none of these are organized along denominational lines.