I thought I'd share the TCM schedules I loaded to Letterboxd. The site allows you to filter by decade, year or genre and also lets you sort it by popularity or ratings. And if you have a Letterboxd account, you could filter out the movies you've seen already.
December 2020 - American Schedule https://letterboxd.com/cesspool/list/turner-classic-movies-tcm-december-2020-american/detail/
January 2021 - American Schedule https://letterboxd.com/cesspool/list/turner-classic-movies-tcm-january-2021-american/detail/
February 2021 - American Schedule https://letterboxd.com/cesspool/list