I don't know if your the art museum type, but...
Both the Seattle Art Museum and Asian Art museum are quite decent...http://www.seattleartmuesum.org
Here's a photo: http://www.vra.oberlin.edu/mus.html

Frye Art collection (free) http://www.fryeart.org/

Here is a link to some of the many other Seattle area museums: http://www.virtualvoyages.com/usa/wa...e/sea_muse.htm

Also, as has been mentioned, you can take a ferry ride out to Bremerton, or Bainbridge Island. In Keyport, the Naval Underseas Warfare Museum contains some projects I once worked on (all too long ago, unfortunately). And, the USS Turner Joy is in the Bremerton harbor.

Restaurants:
The Palisades is one of my favorite Seattle area restaruants...located in West Seattle, right on Puget Sound. Expensive, but I have found it to be well worth the price.

Mc Cormick and Schmick's "Harborside" is right on Lake Union...I've had excellent seafood the times I've been there. It was formerly "Triples" and then "Kayaks"

The famous (or infamous) Space Needle Restaurant does offer a great view, but the food is so-so at best.

And, if you want a fun friendly and fast "Northern-Italianesque" restaurant, I've never met a "Cucina Cucina!" I didn't like. OK, its a bit gimmicky, but its good. http://www.cucinacucina.com