Shin
Banned
Seagate branded, both Xbox and Sony uses them because they are cheap and reliable.If it is any external SSD great, if it needs to be MS branded... well, not as good.
One is proprietary ATM, but the consoles will probably closer than current gen so I wouldn't be surprised if Seagate/PlayStation do the same thing as well.

Seagate Storage Expansion Card for Xbox Series X|S | Seagate US
Expand your Xbox Series X|S storage with the Seagate Storage Expansion Card. Enjoy fast load times, store more games, and play directly from the SSD for the ultimate gaming experience!
www.seagate.com

PlayStation External Hard Drives and SSDs (PS4 & PS5) | Seagate US
Maximize your PlayStation gaming with Seagate's PS5 & PS4 external hard drives & external SSDs - high-speed, large capacity for a superior gaming experience.
www.seagate.com