What are some alternatives?
When comparing BabelMap and WinCompose, you can also consider the following products
Event Viewer - Get help, support, and tutorials for Windows products—Windows 10, Windows 8.1, Windows 7, and Windows 10 Mobile.
PopChar - The character map that works!
Gucharmap - Open source character map for the GNOME desktop environment.
Shapecatcher - You need to find a specific Unicode character? With Shapecatcher.com you can search through a database of characters by simply drawing your character into a box. It can find the most similar character shapes for your drawing.
SymbSearch - A tool for searching unicode-symbols and copying it to the clipboard.
AllChars - If you're new to AllChars: start with the Introduction, see the FAQ and Manual. And finally download it. AllChars is now Open Source, usage is free and the sourcecode is available.