The National Congress of Chile (parliament) is surprisingly not in Santiago but in Valparaiso, and heavily guarded. It is not possible to visit, but it's next to the bus station and in the middle of the commercial district.
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Bustling and colorful vegetable market. A lot of cheap and fresh vegetable, for much less than you would pay in a supermarket. Locals come here to buy their fresh produce. There are also a few food stalls selling empanadas, fried fish or meat skewers. One block diagonally from the main bus station.
This one does not run anymore, but the hike up and beyond reveals a beautiful neighbourhood with La Sebastiana and the Winebox Hostel.
A particularily steep staircase lift, hidden away in an alley behind the Natural History Museum.
Two floors of exhibits, focusing on the natural history and geography of Chile, particularly the cross-section Juan Fernandes, Valparaiso and the Andes following the latitude of the former two. Biogeography and geology dominate and the museum does a good job showcasing Chile's incredibly diversity both on dry land and the Pacific Ocean.
one of three homes of poet Pablo Neruda
Similar to La Chascona in Santiago, this house offers included audioguide tour of Pablo Nerudas house in Valparaíso.
For a scenic walk, head for Avenida Alemana, a long curvy road along the cerros. It passes a number of viewpoints offering spectacular vistas of the city, the port area and coastline as far as to the dunes of Concon. A star attraction nearby is one of Pablo Neruda's three residences, La Sebastiana, only some 50 m downhill from the road. The stretch from there heading west is the most beautiful part, and once you have had enough, there are microbuses all along that can take you down to town.