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Known for its large, open-air reclining Buddha image. It is one of three major reclining Buddha statues in the area, along with the more famous, Shwethalyaung Buddha and the Mya Thar Lyaung Buddha.
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If you have never seen a big snake or python, this one looks quite nice. Otherwise the trip (the monastery is a bit off the track) is not worth it. If you're already there, you can go to the Shwetaungyoe Pagoda just north on a small hilltop, which provides great sights over the city. Overall, the hillside pagoda is more impressive than the Snake Pagoda.
A famous pagoda to the east of Shwemawdaw Pagoda that's very much worth visiting.
This palace and its enclosed museum contain some important history information about the city and the surrounding area, especially the ancient fortress Bago apparently was in the past. The museum is not very excessive, but worth a visit if you already have paid the government fee.
Golden God Temple
At 114 m in height, the Shwemawdaw is the tallest pagoda in the country. It is similar to the Shwedagon Pagoda in Yangon or the Uppatasanti Pagoda in Naypyidaw, but somewhat less impressive.
More Buddha statues.
A complex of four standing Buddhas facing each geographic direction. Only worth it if you are already in that area, e.g. for the reclining Buddha or the Mahazedi Pagoda.