When objects are shared by one user with another user, objectionable content, if identified as such, can be blocked from being shared, while the remainder of the shared objects can be accessed by the other user. Functions that allow sharing of content are implemented so as prevent sharing of objectionable content with another user, while allowing other content to be shared. If a group of files or objects is shared, then the presence of objectionable content in one object in the group results in that objectionable content not being shared, but the remaining files or objects are still shared. A graphical user interface for accessing the storage system, whether by providers or recipients of shared content, can selectively render information about objects with objectionable content.