Currently, there is no reports that would show the activity that was done in a JIRA project as a whole.

There should be a report that would allow you to view all project activity for one, more or all issues (epic, story, task sub-task, etc) from a project, even filtered by the date or user assignee.

All this data should be able to be exported in a document suitable to be presented where the activity done on the issues in a project can be seen clearly.