While the old Chinatown stops around the Interstate 5 freeway, the area to the east is called '''Little Saigon''', centered on 12th and Jackson. From there, going south along Rainier Avenue, the stores transform from Vietnamese to Cambodian, though by then you're pretty far from downtown Seattle.
Most of the older businesses in the I.D. are, of course, Chinese, and there are a few general stores where you can pick up good woks and other imported items. Over in Little Saigon, the Viet Wah supermarket has Asian foods for a lot cheaper than Uwajimaya.
The food court offers a wide variety of Asian cuisines, ranging from Hawaiian BBQ to Hong Kong style baked goods, and everything in-between. The Thai offering is not so good. The Chinese steam tables offer reliable, western-style treats in large quantites for cheap. There is no real Japanese offering, but the grocery store deli has plenty of sushi and other Japanese lunch items available. The Korean establishment, Shilla Korean Bar-B-Q is probably the best out of the entire court, with very reasonable prices and large portions.
Uwajimaya is located at 600 5th Avenue South.