The Zoom install package for macOS is mad. Rather than actually using the installer to install things, it does everything in the preinstall script. That's bonkers, and also means that the system won't have a list of the files it installed, because it's doing it using shell script.
The script appears to install two items, namely:
/Applications/zoom.us.app
~/Library/Internet Plug-Ins/ZoomUsPlugIn.plugin
If the user opening the package isn't an administrator, it looks like it will install the app in the user's home folder instead. If they are an administrator, Zoom will delete the ZoomUsPlugIn.plugin from /Library if it's there, but it still installs to ~/Library.
It also adds Zoom to your Dock automatically, without asking.
Bizarrely, zoom.us.app is installed by unzipping a 7-zip archive, then unzipping another 7-zip archive containing graphics and copying that inside the Frameworks folder in the zoom.us.app bundle.
If run by an administrator, the script also executes a script as root to change the ownership of zoom.us.app to root:admin.
If you are on macOS 10.10 or above, the script will delete the file "ZoomAudioDevice.kext" from the zoom.us.app bundle. Perplexingly, this file doesn't actually seem to exist in the current zoom.us.app iteration (it looks like it has been replaced with a userland audio driver instead). On Mac OS X 10.9 and earlier, with the older zoom.us.app that presumably had the KEXT in it, the KEXT would be copied to the ~/Library/Application Support/zoom.us/Plugins, which it alarmingly makes writable by the "staff" group - so you'd have been loading a KEXT from a directory in your home folder that is writable to other people on the machine(!!)
That's all the installer does, but when the zoom.us.app application is first executed, it also creates the folder ~/Library/Application Support/zoom.us, which holds a database and also a copy of the retina version of the graphics bundle. The application also creates two plist files in ~/Library/Preferences, namely
us.zoom.xos.plist
ZoomChat.plist
I don't have anything against Zoom but after this weeks news, I don't want it anywhere on my personal laptop, just want it on my work laptop. Here's the commands to just delete all the files listed above, thanks @al45tair for the cleanup guide above.