I've been curious recently and have been wondering if there's a way to view the most recently posted projects on Scratch. Is there? If so, please tell me how to go there.

I don't understand your question. Most recent posted by a Scratcher? Most recent out of all projects? Recently played? Give me more information.

Go to Explore tab, click the drop-down that says “Trending” then select Recent
here's a link

Thanks!!