Poplin or a lighter twill are the two fabrics that come to my mind immediately -- neither will be too heavy for the shirt, but should give you a crisper finish than (for example) quilting cottons would. And both are used for shirting.
Therese von Ludowing (Sound Horizon's Märchen)Elsewhere: Journal ~ ACP ~ CosplayLab
Catelyn Stark (A Song of Ice and Fire / Game of Thrones)
Ichihara Yuuko - butterfly kimono (xxxHolic / Tsubasa Reservoir Chronicle)
Elisabeth - red ballgown (Elisabeth - Takarazuka version)
Thessaly (Sandman - The Kindly Ones)