Tahoe-LAFS provides a storage service that is encrypted by the client, but the original uploader of the data is still able to delegate read-only or read-write access to others on a per-file or per-directory basis.

The overall design, including how it is possible to do secure delegation, is fairly well described in a paper from the 'Storage Security and Survivability 2008' workshop - http://tahoe-lafs.org/~zooko/lafs.pdf