Nwa Le Bo Pagoda, (12 miles north of town). Take a pickup from the bridge, or motorcycle taxi to the base. Note the pickups mentioned in LP do NOT run. You must hike up the mountain (2 hours each way) to see this pagoda. Not quite worth the effort.
Pa Auk Taw Ya Monastery, (9 miles south of town). Take local pickup south. Enormous, tranquil meditation centre with friendly people. Arrive by 10am to walk to the eating hall for an 11am meal with hundreds of monks (and a few foreigners studying meditation).