There are different types of Methodism (Methodist Church of Ghana, Methodist Church of Great Britain, Christian Methodist Episcopal Church, United Methodist Church, African Methodist Episcopal Church of Zion, etc.) They all meet together with the World Methodist Council (made up of ministers, professors, and bishops) which are in charge of the universal methodist faith. Each then, in part, have their own bishops or other leaders.

World Methodist Council was created in 1881.

Theologically the answer to this question is Jesus Christ.

Across the globe there are several Methodist Churches (denominations). The United Methodist Church, the largest, has no one person who is the leader of the church, like a Pope or Archbishop. Instead, the form of governance is more like the US federal government. It has Judiciary, a Legislative, and Executive bodies. However, the Executive is composed of all the active Bishops, not one President like in the U.S. Federal Government. Official policy is set every four years at the General Conference, a legislative body composed of representative delegates. Twice a year a nine-person Judicial Council meets to interpret questions of law brought before it (questions of policy and procedure, not of censure or discipline). The Episcopacy (the Executive body) is composed of all the active bishops. It does have a President, but this bishop does not act as the president of the denomination, only of the Council of Bishops.

In other churches, such as the Methodist Church of Great Brittan, they do elect a President every year. The current (2009) President of the Methodist Church of Great Brittan is The Reverend David Gamble. You can read more about this here: http://www.methodist.org.uk/index.cfm?fuseaction=opentogod.content&cmid=1567

Yes the Methodist Church has Bishops. They are responsible for a jurisdiction, which is composed of several districts.

United Methodist Church United Methodist Church United Methodist Church