This has been the standard video player for decades. It works on both PC and Mac. I'm including this on theMac page only, because the technology is mostly centered for that platform. QuickTime comes as a native application in the newer operating systems, and for a few years has had the ability to record the screen as you use it.
The PC version can be upgraded so you can record the screen.
I don't have a lot to say about this, because I typically don't use it. However on the few times that I have, it worked just fine.
QuickTime player is a free download. If you have a Mac, chances are it is already preinstalled.