I understand that you're looking for a way to report against places in your Jive environment in the CMR. Unfortunately, I don't see a report that includes all three items you've mentioned (projects, groups, and spaces). If you haven't already done so, I would encourage reviewing the "Places Activity" report and download the CSV to see if this fits your needs with the limitation of projects and this is limited to the top 1000 places.
Otherwise, you may wish to look into potentially developing a solution using Jive REST API v3.13 → Place service. Please be aware, however, that this will require development work and is outside the scope of Jive Customer Support. If you have further questions on this, I would encourage posting to Jive Developers for visibility and input from the development community.
Let me know if you have any other questions.