JR Tower
The newly redeveloped building near JR Sapporo Station marks the center of the city. It is higher than the TV tower observatory is. Affording panoramic views. As a bonus for men, the observation level has a men's room with a view!
Moerenuma Park
A popular excursion for Japanese families, this park offers several acres of carefully manicured grass and monumental landscape installations. Highlights include a 5-story glass pyramid and a man-made mountain, from which one can see all of Sapporo. Take the Toho Line to Kanjo-dori-higashi, then the Higashi 69 or 79 bus to Chuo Bus Kita Satsunae Line to Moere Koen Higashiguchi. Doing so allows you to enter the park from the east entrance. Rental of bicyles is available, from 7am - 7pm.
Hokkaido University Botanic Garden
A large botanical garden. There are two rock gardens, a rose garden, a lilac display, a greenhouse, and various other gardens. There's a small museum in the garden with artifacts from Hokkaido, some dating back to the Meiji period no extra cost. In the winter, only the greenhouse and museum are of interest.