The S.S. Klondike riverboat is now a self-guided tour, open 9:30 a.m. to 5:00 p.m. If one wishes a guided tour, there are designated contractors who will take you through the historical site, for a fee, of course.
There is also now a substantial wharf on the Yukon River along First Avenue, between the Trolley Roundhouse and the historical White Pass Building. Very nicely done with bench seats. All good views of the Yukon River.
Those interested in a pleasant walk can enjoy the Millennium Trail along both sides of the Yukon River. It does a good loop through the south part of town and includes a foot bridge over the Yukon River out by the Robert Service campground.
I also recommend a visit to the Kwanlin Dun Cultural Centre along the Yukon River. There is no fee for entry and there are some interesting artifacts to be seen. As well, some artists in residence.
The Yukon Beringia Interpretive Centre is also interesting, has some historical animal displays and good movies. Here you'll learn more about the land bridge that once existed between Alaska & Siberia. Many areas of Yukon & Alaska were unglaciated during the Ice Age and this is what you'll learn more about. Plus you get to try your hand at spear throwing.
Those wishing to take a boat tour of the Yukon River and Miles Canyon, can check into
http://www.yukonrivercruises.com/boatcruises.html. An affordable outing on the MV Schwatka, very scenic!
ON EDIT: read in the newspaper that the MV Schwatka will not be touring this year