Follow the headline link, then log in to Apple Music in Safari. Apple Music will build your Replay playlist, then update the list weekly.

Click the Add+ button to add the playlist to your library. It might take a bit to make its appearance, but it should show up on all your devices, assuming you have sync enabled.

If you head to the Music app, tap the Listen Now tab, then scroll down a ways, you should find your year-by-year Replay lists in a section called “Replay: Your Top Songs by Year” (H/T @cyclonus).