I see this question was posted half a year ago, but maybe someone will find my comment useful :) First of all, good timing! Myanmar is at its best from November to February :)
1. Bagan. Air ballooning is simply gorgeous over there!
2. Inle Lake: great for hiking around, and spotting local fishermen
3. Alaungdaw Kathapa National Park: you can see wild Asian elephants there
4. Botataung Pagoda: in downtown Yangon. Simply impressive.