Handwoven Magazine - excellent magazine from Interweave Press which has lots of weaving projects, hints and great pictures of handwovens.
Ply Magazine - a magazine about spinning
Shuttle, Spindle and Dyepot - magazine of the Handweavers Guild of America which includes interesting articles on a variety of fibre arts topics.
The Weave Shed -The Weave Shed is a resource site, providing a portal to available weave resources on one site alongside an active blog featuring weave-related stories, news, up and coming events, jobs, paid internships and featured weavers.
Weavzine - Online weaving magazine. It is no longer updated, but the articles are an excellent resource.