Sanahin Monastery
UNESCO world heritage site, and for good reason. This wonderland of incredibly well preserved Armenian architecture has stood for almost a thousand years, with little change. You can almost feel how the place must have been buzzing with activity. Sayat Nova, the famous bard, used to sing here.
S. Grigori Monastery
Trails to Surp Grigori can be accessed from both the highway below it, or the fields above the cliffs. The hike is a little longer from below, but the road is much better, shorter and easier to find. This one has much more of the lost to time feeling, and due to the hike, and the very few that venture out here, you'll likely have it to yourself. If it weren't for the graffiti, the feeling you just discovered beautiful ruins in the jungle would be hard to shake.
Kobayr Monastery
The partially collapsed church once had magnificently exposed frescoes - which are now being covered again as the complex is restored. The setting is really nice, as are the views. Well worth the 15 minute walk up the slippery wet slopes of the canyon.
Horomayri Monastery
This is an incredibly well camouflaged monastery on the slope of the cliffs, just 1km south of Odzun. To get there, climbing up from the highway along the Debed River is probably quickest, but hiking south across the cliffs from the last switchback to Odzun is easy as well. The tough and quick way is descending the cliffs from 1km south of Odzun.