Australian National Gallery
Much of this museum's extraordinary collection of Indonesian textiles is now online
The Textile Museum
The pre-eminent institution for ethnographic textile studies, in Washington DC.
The Museum for Textiles
Antonio Ratti Textile Center
The New York Metropolitan Museum
LA County Museum
Selected Masterpieces in Costume and Textiles from the Permanent Collection
Best online scholarly journal and resource for the Asian Arts; with interactive forums, galleries, and illustrated articles.
Pretty active online forums dedicated to tribal textiles.
TAI Gallery/Textile Arts: Fine art textiles and bamboo basketry
Leading experts in fine ethnographic textiles with many excellent examples of Indonesian and Indian pieces in an extensive online gallery. See also TAI's collections of the best Japanese fine art bamboo basketry.
Pre-Columbian Textiles at William Siegal Galleries
Large collection of fine Pre-Columbian textiles and sculpture