I recommend highly these places below:

.War Remnants museum

.Ho Chi Minh museum

.South Women's Museum

.Ben Thanh Market

.Notre Dame

.Central Post Office

.Independence Palace

.Turtle Lake

.Chợ Lớn Market - Bình Tây Market

.Thien Hau Temple in China Town

.Xa Loi Pagoda.Quoc Tu Pagoda

.Cao Dai Temple

.Jade Emperor Pagoda

.Mariamman Hindu Temple

.Giac Lam Pagoda

It's up to the interests of tourists, they will chose the places they prefer to go.