Photo: Gary Todd from Xinzheng, China, CC0 via Wikimedia Commons
The museum has a fine collection of Vietnamese antiquities. Read up on Vietnamese history first or you'll have no idea what you're looking at. Outside, the Botanical Gardens are very nice and a good place for a cheap lunch away from the crowds. Six times a day, you can see a 20-minute water puppet show (adult 50,000 dong, child 35,000 dong). It's quite amusing, even for adults.
The Ho Chi Minh City Museum of History is located at 2 Nguyễn Bỉnh Khiêm, Ben Nghe Ward, District 1, in Ho Chi Minh City, Vietnam. Formerly known as the Musée Blanchard de la Brosse, and The National Museum of Vietnam in Saigon, it received its current name in 1979. The museum was designed by French architect Auguste Delaval, and was inaugurated at the same time as the nearby Temple of Hùng King on 1 January 1929. It is a museum showcasing Vietnam's history with exhibits from all periods.
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A rare gem and a must see for geology & natural history enthusiasts. This 3-story building houses a collection of earthly artifacts (and even some non-earthly ones), including a few rare examples. Sadly in a state of neglect with poor lighting and little to no interpretive text. You can read more about it here.
Chùa Ngọc Hoàng or Phước Hải Tự
A Taoist temple considered by many to be Saigon’s finest, dedicated to the Jade Emperor, the king of the gods in Chinese mythology. Built by Cantonese immigrants in 1909. Check out the room filled with unusual figurines, to the left of the main hall. There are many turtles in a concrete pond in the courtyard. A calm place to rest from the city noise.
Nhà thờ Đức Bà or Basilique-Cathédrale Notre-Dame
A French-built Catholic cathedral in the city center.
A museum detailing the life and achievements of politician Ton Duc Thang, known for his role as president. The first floor has a special exhibit (as of February 2018 about his time on the infamous prison island of Con Dao) and the second floor has a biographical display featuring artifacts, dioramas, and photographs telling the story of his life; there is also a painting gallery.
Nhà hát Thành phố or Opéra de Saïgon
An opera house built by the French during the colonial period, and without a doubt one of the finest performance venues in Southeast Asia. In modern times it is home to the critically acclaimed AO show, an acrobatic show that fuses Vietnamese traditions with modern Cirque Nouveau performances. Occasionally hosts classical music performances when the AO show is not being performed.
Built as the Hôtel de Ville, it's a striking cream and yellow French colonial building beautifully floodlit at night. No entry, but the statue of Uncle Ho in front is a very popular place for photos.