Recent progress has improved our knowledge of how proteins form amyloid fibrils. Both 'natively unfolded' and globular proteins have been shown to initiate fibrillization by adopting a partially structured conformation. Oligomeric prefibrillar intermediates have been extensively characterized with respect to their morphology and temporal evolution. Three-dimensional models obtained using biophysical and computational methods have provided information about fibril structure. All of these advances suggest common features of self-assembly pathways, with subtle variations accounting for differences among distinct amyloid fibrils.