I’m currently a board member of Pyvec, z.s., a local non-profit that doesn’t organize anything by itself, but supports volunteers who do. The main purpose is being a “fiscal sponsor” as mentioned above – that is, getting money from sponsors to organizers, with all the right invoicing and accounting. So if you ask who “organizes” PyCon CZ or Pyvo meetups, and you mean “what should be on the invoice”, we’ll mention the nonprofit rather than the person running around and booking venues. (Though the person is frequently a member of the organization, too.)
For larger (for us) events like PyCon CZ, we ask PSF and EPS for grants, and are grateful that they can channel some of the money from multinational sponsors to smaller (for them) events.
I don’t think the PSF can do much more for us.
When we discussed this, Some were a bit surprised that in the US, and you want sponsoring/accounting for an individual city meetup, you go to the PSF – to us, PSF is for country-level events :)