Electronic devices with drawn sheet-packed coherent fiber bundles

An electronic device may have a display, a display cover layer, and a drawn sheet-packed coherent fiber bundle. The coherent fiber bundle may have an input surface that receives an image from the display and a corresponding output surface to which the image is transported. The coherent fiber bundle may be placed between the display and the display cover layer and mounted to a housing. The coherent fiber bundle may have fiber cores with bends that help conceal the housing from view and make the display appear borderless. The coherent fiber bundle has filaments formed from elongated strands of binder in which multiple fibers are embedded. Sheets of filaments are stacked and fused together to form a block of material that is subsequently drawn to form the drawn sheet-packed coherent fiber bundle.