I am also a fan of James Clavell, and I would definitely recommend that you read them in their timeline order, you'll get more from them that way! Two further books I'd go for are Escape, a 'tangent' novel from Whirlwind, and The Children's Story - this last one not from his Asia Series, but still worth reading!
Tai Pan was made into a film with Bryan Brown, Shogun was beautifully made with Richard Chamberlain, and I recently discovered Noble House with Pierce Brosnan.
I hope you enjoy them all!