Macbook Pro 15" Mid2014 2.5 GHz Quad-Core Intel corei7 continuously crashes after upgrade to Big Sur 11.1

Try running First Aid on the whole physical SSD (select the "Apple SSD ...." item which is hidden by default).

It seems you have a lot of half installed or uninstalled apps (depending how you look at it) since there are a lot of items needing cleaned up listed at the end of the report. It may be these items are causing a problem.

Normally I would say make sure all your third party software is completely up to date and compatible with Big Sur (especially Parallels, VirtualBox, and WD software), but I would recommend performing a clean install of macOS by first erasing the whole physical SSD, then only migrating your user account(s). Manually reinstall your third party apps by downloading the most recent installers and making sure they are listed as compatible with Big Sur. If any of these apps are not listed as compatible with Big Sur, then you should not install them at this time. This is probably the fastest & easiest way forward plus by erasing the whole physical SSD you get a good clean APFS file system as well. Here is an Apple article on how to erase the whole physical drive (you need to unhide the physical SSD before you can erase the whole SSD):

https://support.apple.com/guide/disk-utility/erase-and-reformat-a-storage-device-dskutl14079/mac

Ideally you would want to test the clean install before migrating from your backup or installing any third party apps just to make sure the laptop is working fine. This way you know if you have an issue that it is a hardware issue. If you get the blinking folder with question mark after the clean install, then most likely the SSD is failing (it would be the most likely part given the symptoms).

Also Apple did have issues with the original Big Sur installer on the 2013 & 2014 MBPros and only just released v11.1 to work with these laptops. Perhaps there are still some compatibility issues with this model laptop.

The report also mentions a "Service Battery" condition which indicates macOS has detected a hardware issue with the battery. I'm surprised the Apple Diagnostic did not report a battery failure. I forget when this laptop becomes "Obsolete" (I think sometime in 2021) so I would recommend contacting an Apple Authorized Service Provider to get a price on replacing your battery and even see if they can replace it (only possible if the laptop is considered "Vintage" and only while parts are still available). The quality of third party Lithium-ion batteries is extremely poor even when purchased from a reputable vendor such as OWC. Keep in mind if the battery develops a power issue it can affect the performance of the laptop by causing the CPUs to run only at 800MHz instead of 2+ GHz making this laptop extremely slow. Of course only have the battery replaced after you determine the cause of the system crashes.

Are you running the latest version of Big Sur which is version 11.1 with all the security patches installed?

When running First Aid you should run it on the hidden Container. To see the Container click on "View" within Disk Utility and select "Show All Devices". Even if First Aid reports everything as "Ok" click on "Show Details" to look for any unfixed errors. If you find any unfixed errors (or even warnings) will require erasing the whole physical drive before restoring from a backup or clone.

When you reinstalled Big Sur did you perform a clean install by first erasing the whole physical drive? And did you test the system before restoring/migrating from a backup and before installing third party apps?

Run the Apple Diagnostics.

To look for possible software issues run EtreCheck and post the report here using the "Additional Text" icon which looks like a piece of paper.