Right now, it's not possible to access old "Made for You" playlists like Discover Weekly. However, you should be able to view your recently played songs in the Home page of your Spotify app. If you'd like to be able to view old Discover Weekly playlists I'd recommend you add your votes and comments to this idea.
Hope this helps and let me know if there's anything else I can help with :)
Jose_MRock Star 11
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