Actually, the Baptists have Menno Simons to thank. They are a branch of anabaptists.
So they have zero connection to Luther, but Menno Simons was a Catholic priest.
Really there are two broad branches of protestants, mainline and the anabaptists. Mainline are Calvinists, Lutherans and Anglicans. Anabaptists tend to be Zwinglian and Mennonite.
I beg to differ — besides the two you stated, there are also the Pentecostal branch, the Mormon branch, the Unitarian/Jehovah’s Witness/Seventh Day Adventist branch and the Free-for-all branch.