Your intuition is fine here. "Include" works best when it refers to a state that still exists. In this case, the category of "TV shows from the 80s "is a currently-existing category, like "TV shows that star a child actor" or "films that have lasers in them," so the present tense form include encompasses what that category currently includes.
The past tense version included is used to refer to either a past version of a category or a state that no longer exists.
"The TV reruns that were on TBS in the 1980s included ..."
If I were giving a narrative what someone were doing in the past that required such a list, I would also use included:
"When I built the addition to the shed, my materials included ..."
Using include in these cases makes less sense.
Your example walks a line because it can be read in a present way (as a category still existing) or in a past way (as a category of shows that were around in the 1980s). Am I reading it as if it says "TV shows that are from the 80s" or "TV shows that were from the 80s?" Either works; either is fine. A style guide could pick include or included for consistency, but they both make sense.
Sources: these come from observations of use in the Oxford English Dictionary (def 6b of "include, v."), in forum topics like this, and from a few Corpus of Contemporary American English searches.