Any other religious-military orders aside from the Templars?

The Jesuits have always been known as "Soldiers of Christ," though they do not actually engage in PHYSICAL combat. Below is a link. I do not know if they would qualify as a religious military order, but they are extremely interesting.

The Free Masons are not a military order, although, especially in its earlier days, military service was probably quite common amongst its leadership and membership. This was merely a matter of what was expected of most men by society; however, and in no way reflected a requirement by the fraternal order. So many notable Masons especially in American History have been both successful soldiers and Masons, that it is understandable that the two would seem to go hand-in-hand.

Al-Queida thinks themselves a religious/military order.

The IRA in a way (Catholics vs. Protestants), though that's a lot of bs. Political wing being the Sein Finn.

I am certain there are many more, but can't think of or are unaware of at the moment.

Oh, how about the Spanish Inquistion and the Catholic order.

Nazism and the presecution of people of the Jewish faith.

I'm scaring myself! I don't want to think of all the hatred anymore.

The Chinese have the Shaolin monks and other orders who were expected to enter combat.

In England, in the Middle Ages it was not unknown for monks, priests and others to carry arms for defence.

The Japanese Samurai were not a religious order but were expected to be conversant with all areas of life, including religion.