My initial upgrade to Big Sur was fine. The upgrade to 11.3 and 11.3.1 were disasterous.
1. The update broke the thunderbolt bridge network adapter (to a QNAP). Besides not working I couldn't shutdown my system as it would panic on shutdown and reboot. Spent 3 hours diagnosing with Apple Support. Supposedly fixed in 11.4. Have to follow up with Apple Support.
2. Homesharing movies is broken. 4k movies from Movies Anywhere will not play. Haven't worked this one yet as other problems were more critical.
3. After the update to 11.3.1 airplay to other devices (receiver, Homepods) was totally broken. Would select a device and after a couple of minutes I would get an error message that it would not connect. Problem was sent to development. However a complete reinstall of the OS did fix the problem.
Have never had so many serious OS problems at the same time.