Things I have done that I would not have been able to do as a civilian.

There are opportunities the US Army presents that are not available without joining up! For instance, I could not compute firing data for, nor observe artillery rounds impacting unless I had taken the opportunity to become a Field Artillery Officer.

What is the most exotic place the Army has taken you?

Could be a normal tour of duty, a temporary duty assignment, an exercise, or other opportunity provided due to the "needs of the Army."