Will Photoshop 2020 work in OS Big Sur 2020? which are the applications that do not work?

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Please have a look at this page Adobe created about Photoshop capability with macOS Big Sur found at, https://helpx.adobe.com/photoshop/kb/photoshop-and-macos-big-sur.html. Unfortunately Photoshop 2020 is not capable with macOS Big Sur according to Adobe.

Since the only way to acquire PS 2020 is with a Creative Cloud subscription, all you need to do is update it to PS 2021, which is the current release (version 22.1 as of this writing).