Excellent Question.
Here are a few to add to the list:
* Myrtle Edwards Park / Elliot Bay - also great for bikes
* Golden Gardens for the views and people watching
* Alki
* Discovery Park - also great to run or bike
* The waterfront for great tourist-watching and views
don't miss piers 57 - 59
* Walk onto the Bainbridge ferry and explore Winslow
* Soon - the Olympic Sculpture Park
* Carkeek Park
* Seward Park and Greenlake have great loops for
feet, bikes, skates, strollers - just about anything
* Queen Anne: Start at Macrina bakery & cafe, watch
the Olympics from 7th & 8th West (Olmsted
boulevards) to Kerry Park on Highland for postcard
views of downtown and Rainier, Trader Joes for a
snack and then around Bigelow for a view-ful loop.
* Pike Place Market for great people watching
* Seattle Center
* Gasworks Park
* Lincoln Park
* Woodland Park Zoo
These are a few places off the top of my head. I would love to hear from others. We live in an ideal city for this and I would like to take more advantage.
Check out the Seattle website for parks, events, etc. http://www.seattle.gov/html/VISITOR/culture.htm
The City of Seattle also lists Scenic Viewpoints:
http://www.seattle.gov/parks/parkspaces/Viewpts.htm
more