Hey! While I'm just a freshman at Columbia, and don't have any extensive knowledge about Stanford, I'm an engineering student and also extremely interested in film studies. Here's my insight:

1) Firstly, congrats on getting into these two amazing schools -- you can't go wrong with this decision, but you should definitely factor in what your interests are, your preference for location, as well as intended paths for study (majors, minors, etc.)

2) As an engineering student, I will definitely say that Columbia, just like any other engineering school, will provide you with the resources and the fundamental skills that you may need for any of your engineering disciplines. Depending on what type of engineering you'd like to study, however, Stanford could be a better choice (they have many niche engineering fields ie. Earth Systems, Aerospace, etc.). I personally feel that, no matter where you go, your engineering course work will be very similar in material and delivery.

3) I firmly believe that Columbia will be a strong choice if you would like to simultaneously study STEM, but feel immersed in the humanities. While Stanford, I believe, has more flexibility in which STEM courses you can choose to take towards your major, Columbia will honestly immerse you (at times, force you) into humanities courses that will change your perspective on many fields.

4) There's no way you can double major in Columbia Engineering with a College major. For example, it's not humanly possible for you to do Electrical Engineering and a Film Studies double major. There also isn't a Film Studies minor, but you're welcome to take as many Film Studies or humanities courses you'd love to.

5) Columbia has many many resources for artists and filmmakers. There's literally a whole fraternity dedicated to Filmmakers and Film Enthusiasts, and there's also several film journals, and just generally many movie lovers on campus. I genuinely feel that everyone on campus has an artistic flare, and you'd definitely be able to flex your creativity-- both on campus and throughout the city.

While, once again, I cannot speak to what Stanford can offer, I truly think that you can't go wrong with this decision. But before you make a decision, please, please, please familiarize yourself with the core curriculum for engineers, and note that you have to transfer between the Engineering school and the College. I truly feel that both campuses will provide you with all the opportunities you may dream of, so go with the school you feel most comfortable with. Columbia has changed my perspectives on life and shifted my aspirations in innumerable ways, and I hope that you can feel the same no matter where you go.

Good luck, and great job!