Automatic dashboard for devices

I would like to have an automatic dashboard that displays all the devices on a same board, like the default dashboard with the entities organised by room.

a synthesis of
/config/integrations/integration/esphome,
/config/integrations/integration/mqtt
/config/integrations/integration/imap
and so on…

something like that:

Just FYI (and until your FR is fulfilled) did you know you can sort by integration on the Devices & Services → Entities page?