Points of interests are statues situated around the map. They highlight orange when you click them, and then you can click enter for a frontal view. There are 5 in total. 1 is in the upper left corner of the map. Then there are 2 in the area top right of the map, north of the park. Then there are 2 more in the area in the bottom left. Just start the game, scroll around and then click on the statues and enter them. Your character does not need to be near them.
Thanks to shadow kisuragi for correction