On the European mainland, after 50 years of fighting, the Concordat of Worms provided a similar, but longer lasting, compromise when signed on September 23, 1122. It eliminated lay investiture, while leaving secular leaders some room for unofficial but significant influence in the appointment process.
The Freemasons is a fraternal organization formed in the late 16th or early 17th century, which permits men of any religion to join.
An interesting footnote to prove the above point: in 1988, the Grand Master of Washington, DC removed the privileges of Freemasonry from the Sovereign Grand Commander of the Southern Jurisdiction of the Scottish Rite. The GM wasn't even a recipient of the 33rd Degree Scottish Rite, by the way.