I ran across this story about online custom shirt-makers while pursuing something else.

Just putting it out there. One of my brothers in Texas has shirts made by a tailor in Dallas.

LATER: Comments to that article provide some other sources:

EPIC -- good prices
Modern Tailor -- $19.95 introductory offer for fit
My Tailor -- large selection of ties and cufflinks (I like the handpainted coins), luxury fabrics

Gentlemen, a good quality soft shirt makes you touchable.