My vote would go to Blender. It's entirely open source and has been used by several multi-million dollar Hollywood productions.

I personally use Adobe Premiere since I have a student discount for CC. It has some great professional features, although I'm still getting the hang of rendering videos without any significant quality loss in post, even matched at source bitrates. This is probably due to my ignorance and not configuring the rendering options properly, but it seems like I go through and check off all of the necessary options to produce high quality video near source, and it still comes up a little short (slightly "fuzzier" or noticeable ghosting, not smooth frames, etc). I'm running a 6700k with a GTX 1080, so the hardware doesn't appear to be the issue.

That's a conversation for another topic in another forum though. I've seen some excellent quality videos come out of Premiere pro before, so if you're a student that needs to use Photoshop, it's another great option that comes with the whole suite for 20 bucks a month.