Many receivers have a usb port & will read & let you navigate a connected mass storage device; interface may be basic & just display the directory & file structure, however. File system support may also be limited (eg, FAT, FAT16, etc.).
If you use a dlna server, a network receiver will be able to access your music library that way.
Edit: sorry, just saw your note about not wanting to stream. Look for models with usb connectivity.