- Removing Edge may cause update failure loop. 
  Install Edge, install all Windows updates, then remove Edge. 

Requires WebView

- Eclipse IDEs
- Gmpublisher (Garry's Mod)  
- ImageGlass
- Lenovo USB Recovery Creator Tool
- Microsoft Photos App (Edit)
- PowerToys File Explorer add-ons utility
- Quicken
- Safing Portmaster
- Windows Mail  
- Xbox App

EXE Version

Edge Only
No Terminal - Edge only, with no terminal. Useful for Task Scheduler
Edge + WebView

Build From Source
pyinstaller --onefile --noconsole -i icon.ico -n Remove-Edge.exe edge.py --add-data "setup.exe;." --add-data "setupi386.exe;."

Batch Version (Mostly by XakerTwo)

Both - Removes both Edge, and WebView.
Edge - Removes Edge and Appx version of Edge only.
Edge-Appx - Remove Appx version of Edge only. Leave Webview / Chrome version alone.

Additional Files

Install Edge
Install WebView

Fix Update issues: Batch Script