But, to me, it sounds like you are really submitting a search query, if that's the case then you are on the right track:
GET movies/search?rating=PG_13&genre=comedy
There is a plethora of search api docs you can glean information from.
But, popular, and similar attributes (like genre, for example) to me could be different endpoints, like:
GET movies/lists/:list_id (where list_id in this case is "popular"), or
GET movies/genres/:genre_id
I am parsing out like-functionality, attempting to make it clear. Successful APIs are obvious and transparent, hiding everything behind one filter endpoint may not be the best long-term solution.
Apologies if I am not interpreting your question correctly, just adding my input.
Good luck!