My single-page website for quickly and easily getting a particular emoji character onto your clipboard for pasting into a document you're composing, ClipEmoji.com, has been updated with the new 2021 set of emoji from the Unicode Consortium. New emoji include "face in clouds" and "heart on fire".
As of the time of this writing, these newest emoji likely aren't available on your preferred platform yet, but when they are, ClipEmoji.com will be ready!
Incidentally, ClipEmoji.com isn't strictly needed anymore. The latest versions of both Windows and MacOS now include built-in emoji pickers that can be accessed from any place where you're composing text. The keyboard shortcuts to access them are Win+Period (Windows) and Cmd+Ctrl+Space (Mac).
Still, I find myself still regularly using ClipEmoji.com while composing text on desktop platforms. You're welcome to use it, too! Enjoy! 😁