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Absolutely do not get an MA in film studies unless it is fully funded. You will be throwing your money away - and almost surely putting yourself into debt - for a degree with practically zero practical value, that in most cases will be treated by its university as a slightly embarrassing cash-cow needed to fund the programs they actually care about.

The exception, again, is if you find a program that's fully funded (or more likely, get a full scholarship to a program that's otherwise not). They do exist, but you'll have to get pretty lucky to get one of the slots. In which case you will still be wasting your time (in a rational economic sense), but at least you won't be further in the hole.

Do you even like film studies? This isn't an idle question. Here's what I suggest. Find a copy of this book , or one like it, and read a half-dozen essays, whichever catch your eye. Are they in the least bit interesting to you? Or do they make your eyes hurt and your head swim? If the latter, you should not be doing film studies.

This book was, and still is, used in my university's intro to film studies class. I found it to be pretty readable and it used a lot of good examples (ranging from mainstream films to slightly more obscure ones). It's relatively affordable if you buy it used.

David Bordwell is also generally a good person to read from.

there is so many academics writing about modern cinema, I would start with David Bordwell with his essays on website here: http://www.davidbordwell.net. Especially this one is helpful with studio systems: https://www.amazon.com/Minding-Movies-Observations-Business-Filmmaking-ebook/dp/B00511MRFY/ref=sr_1_5?s=digital-text&ie=UTF8&qid=1502670175&sr=1-5&keywords=bordwell and of course his book Film Art. But that's like the absolute basics. Then few other interesting names: James Monaco, Rick Altman, Francesco Casetti and the list goes on and on, but this could a be good start point.

It's pricey, but this is the book that's used for the graduate course in film theory in my school's English department. There's some really important stuff in it that provides a good overview.

probably the first part of film history. just pick up a copy from library.

https://www.amazon.ca/Film-History-Introduction-Thompson-Bordwell/dp/0071267948/ref=sr_1_3?ie=UTF8&qid=1481760576&sr=8-3&keywords=bordwell+thompson

its give a generalized over view of the early transition from the advent of photography to picture toys, motion to inventions which lead to silent films.

though, i am curious why you think there is a similarity between the evolution of film and the evolution of computer games.