If you're interested in a once in a lifetime experience that may be different from other trips, you may want to consider visiting the Tiger's Nest near Paro, Bhutan. Also known as Paro Takstang, the collection of buildings at this monastery are situated nearly 900 meters above ground in a unique location.
Located in the Paro Valley of Bhutan, history notes the monastery was founded in 1692 and has undergone several reconstructions due to fire and other changes.
It's possible to visit the monastery as part of an organized tour, or if you're adventurous, you can solo hike to the location. One such site shares an example of the route and expectations here.
Bhutan is not an easy country to visit - connections could be made through a variety of countries nearby, however, it's important to review any specific visa requirements before booking flights and other travel arrangements. The high value, low volume policy recently changed as well, so plan to cover costs to access the country along with regular expenses.