I’d just settle for macOS’ Terminal.app’s ⌘-K, that resets the terminal, and clears all the screen including scroll back window. Something so basic I have it in muscle memory but I haven’t found the equivalent in Linux terminals.
A lot of people swear by stuff like iTerm2, but I'm almost a little ashamed to admit that even though I have iTerm configured to my taste, I often still reach for macOS' native terminal. It's not gloriously beautiful or anything (basic Zsh with powerline for the shell), but it just seems to work great without the frills. Little shortcuts that think of stuff like this without any configuration (iTerms is impressively…
Plus, Terminal.app feels much faster. Using terminal Emacs feels very different in the two terminals.