Shan State 

Shan state boasts varied landscapes ranging from serene lake to cascading waterfalls, incredible tea plantation and dense tropical forest. Undoubtedly, it ranks first for trekking but also for equestrian adventures. 
The biggest riding club in the area situates in Kalaw, a former fascinating British colonial hill station. While beginner can choose some short trips for 2 days taking into the highlighted landscapes of Heho and Nyang Shwe, experience rider can enjoy the challenging route through the secluded hills linking Bawsai to Pindaya and Indain. Either ways, you will be rewarded not only by the mountain panorama but also sweet local encounters. 

Recommendation: 7 days tour with 6 nights homestay - best for intrepid traveler

Bagan Holy Land

If you expect a different way to capture the timeless charm of Bagan then horse riding is an absolute option. Apart from the temple hopping that astonish even the most sophisticated visitors, the highlight tour lasting for 3 days from Bagan to Mt. Popa reveals the extraordinary scenery of a dedicated national park which used to be a volcano. 
If that does not persuade you yet, think about the ultimate local experience as you will do homestay in a hospitable Bagan family and taste their home made foods.
Recommendation: 2 days package traversing Ngalinpoke and Htee Pu village is suitable to add on a Bagan exploration.

Yangon Easy Ride

Yangon Ykko Riding Club provides 1 day return trip to the countryside. It is remarkable with the touches to rubber forest, Meditation center, Phar-out Meditation center as well some off beaten tourist path pagodas. 
You will be rewarded by the chance of seeing how people make rubber from the first step till it is produced. Other advantages includes the market visits, trying local specialities at a non touristic market.