You'll be able to see your Wrapped 2020 stories until January 15th, 2021. After that date, you'll still be able to see Your Top Songs 2020 and Missed Hits playlists under Uniquely Yours. You can also save those playlists to Your Library by tapping on 💚.
Is there somewhere else we can see the stats that were on the wrapped story? I'm mainly interested in finding my total listening minutes for 2019, and it looks like I missed the deadline for rewatching my wrapped story by a few days.