The mouse support is excellent, assuming your terminal emulator supports the features it needs. (Alacritty does, but iTerm2 doesn't seem to send right clicks to the program.) Pretty much everything can be clicked and right-clicked, you can even scroll (although I find it scrolls too fast to be useful).
I don't know if it counts as rich, but I rolled my own terminal UI in my email client meli [0]. There's a web demo here: https://meli.delivery/wasm2.html that is the client compiled to webassembly and the ANSI escape codes translated to equivalent SVG drawing so that you can try it on your browser. [0] https://github.com/meli/meli/