Agree on Zig Zag. Murray Stenson on nights he's there (Mon.-Fri. I believe) and Erik on nights when Murray isn't. Get there right at 5 when they open, wait for a bar seat, chat up Murray or Erik, explain the sorts of liquor, flavors or types of cocktails you like (and/or don't like) and have them set you up with something. Order food; ask for drinks to match the food. Chat with the people next to you.
If you like Long Islands and club drinks, Noc! Noc! on 2nd, Friday night, when Scotty is tending. Ask for the Tierra del Fuego, an awesome spicy drink.
Bleu on Broadway, for almost claustrophonbic booths (in a good way), tasty quirky food, and nice tenders. Lots of bizarre drinks, mostly odd twists on old cocktails. Sit at the bar if you can. Order the Spanish Coffee for a show with your drink.
Hazlewood in Ballard. Lots of antique drinks, interesting people and place, cheap good pizza next door at Snoose Junction.
These are where I drink, though I hear good things about Tavern Law - don't forget to pick up the telephone and ask if they've got room in the-- oops, said too much already!