I previously kept Grab.app on Mojave 10.14 by simply copying it over from High Sierra 10.13. I prefer the simplicity of Grab over the new Screenshot.app, and I hate that Screenshot adds a drop shadow.

Alas... Grab from High Sierra 10.13 is dead on Catalina 10.15, as Apple did not maintain backward compatibility in AppKit. RIP.

grab.app
dyld: Symbol not found: _OBJC_CLASS_$_NSCompressionGroupTouchBarItem
  Referenced from: /Applications/OldGrab.app/Contents/MacOS/./Grab
  Expected in: /System/Library/Frameworks/AppKit./framewoprk/Versions/C/AppKit
 in /Applications/OldGrab.app/Contents/MacOS/./Grab

For screen shots “my way”, see my Touch Bar Quick Action (Automator script), which uses the screencapture command line - without shadow, without the loud “snapshot” sound effect. You can even use Automator to create your own .app that leverages the command line!

Updated 19 Mar 2020: A quick tip with Screenshot.app: I hate that it captures window shadows. To turn it off, open Terminal and issue this command:

defaults write com.apple.screencapture disable-shadow -bool true

Undoing it is simply replacing true with false.