Movie and TV Data.
Trakt API is a free Video API that requires apiKey authentication, is served over HTTPS and supports CORS, so it can be called from the browser.

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Yes. The Trakt API is listed in the Video category of the public-apis directory, which only includes APIs that are free or have a free tier. Check its documentation for rate limits and paid plans.
Yes. The Trakt API uses apiKey authentication, so you need to register for credentials before making requests.
Yes. The Trakt API supports CORS, so front-end JavaScript can call it directly.
Yes. The Trakt API is served over HTTPS, so it's safe to use in production.