The New York Times sells crossword puzzle subscriptions independently from its ordinary online news subscriptions. As a way to generate revenue from their existing subscribers, they hide the crossword from online subscribers and drive these subscribers to a separate crossword subscription page.
However, online subscribers can access print (PDF) versions of the current (last week's) crossword puzzles from the archive. [Note: These links will come up empty unless you are logged in to the New York Times in your current browser and your subscription is valid.]
Recent NY Times crosswords:
3 / 2020