Not sure if this 100% fits what you’re looking for, but the Linux Foundation hosts the CHAOSS project which develops metrics for open source projects, and develops and implements tools (including dashboards) that can show you analytics data on a given set of open source projects.
Here is an example analytics dashboard for
grimoirelab, the open source software project that implements the dashboard. Kind of meta/inception-y actually.
There is even an open source company, Bitergia, that does consulting and might be able to host the analytics I described above for you. (full disclosure: I’ve met the founder at a conference where he introduced their work to me, but I am not a customer and have never used their services)
Hope this helps!