Google has announced that they've now begun the process to refund years of Stadia game purchases, as the service is shutting down.
In the updated FAQ entry, Google noted:
Starting 9 November 2022, Stadia will attempt to automatically process refunds for all purchases of games, add-on content and subscription fees other than Stadia Pro made through the Stadia Store. We ask for your patience as we work through each transaction and ask that you refrain from contacting customer support as they will not be able to expedite your refund during this time. We still expect the majority of refunds to be processed by 18 January 2023.
Google said if you don't have a Google account now, they will still process the refund. If there are any card issues (lost / stolen / new card), you should at some point receive an email giving you instructions on how to still get your Stadia refund. They also said some people may need to sign up with Payoneer to get their refund, in some special cases where they cannot process it directly.
The same date has been given for Hardware purchases which include the Stadia Controller, Founder's Edition, Premiere Edition and Play and Watch with Google TV packages but you keep the hardware after the refund.
Sadly though, it seems there's still no update on them enabling Bluetooth in the Stadia Controller so it's wired-only which is a pretty big shame if they don't do it. It's a really comfy controller to use but they are under no obligation to enable Bluetooth, since they're refunding the hardware completely. At least I own a bit of weird computing history now…
As for moving progress from Stadia to elsewhere they said that Ubisoft, Bungie, I/O Interactive, CD Projekt Red, Rockstar Games and Bethesda have already shared plans on that but it's down to each developer and publisher to sort it.