Every app gets its own icon
Any app that shows a badge on the Dock can have a menu bar icon, with its count on top. Icons fade when there's nothing new.

BadgeBarApps show unread counts on their Dock icons, which is no help once the Dock is hidden. BadgeBar puts those counts in your menu bar, one icon per app, so nothing slips by.
Free and open source. Needs macOS 14 or later.
No Homebrew? Download the app
Click the icons in the menu bar above to try it.
Any app that shows a badge on the Dock can have a menu bar icon, with its count on top. Icons fade when there's nothing new.
Right-click an icon to see who wrote and what they said. Click it to open the app, just like the Dock.
Show the count on the icon, the number beside it, or just a dot. Set it for every app at once or one app at a time.
When a count goes up, its badge pulses, glows or shimmers for a moment. It can keep repeating until you read it.
Put related apps under one icon that shows their total. Give it any symbol, or your own image.

No account and nothing to configure. Allow one permission, and every app with a badge shows up in your menu bar.
Paste it into Terminal. No Homebrew? Download the app orbuild it from source.