Yes, it is permissible to watch movies, or series, or TV in general, for both men and women, as long as it does not entail anything haram.
Of course, what is meant by entailing haram, or even spiritually bad/immoral, are things like haram lust, haram gaze. Also, being negatively influenced is another important thing to always keep in mind. We can see how damaging this cultural invasion is, systematically making the world desensitised towards certain unethical practises.
This is why we can see that our esteemed jurists have at times prohibited the watching of programs or series coming from certain countries with bad agendas and subliminal messages.
It is a matter of not just being religiously responsible, but also alert and aware of not becoming negatively influenced or change our Islamic mindset due to being "brainwashed" by constant viewing of negative propaganda.
Another point I would like to add is moderation. No need for "binging-viewing". Balance your free time, with various activities, and your priority should always be that you are healthy, physically, spiritually and mentally.
With prayers for your success.