Snapz Pro X will record video, but the file size and saving time will be massive for a whole game – almost real time, in my experience.
It's a moving screen grab. You drag a window over the application in which you are watching the game. Anything that goes through that window is also recorded, like a cursor. So, you can't really be doing anything else while watching the game.
iMac (19,1, 3.1 GHz i5, 10.14.6, 40 Gb RAM) with Mac Pro (5,1, dual-2.4 GHz, 10.13.6, 24 Gb RAM) used as a server and to run 32-bit apps via Screen Sharing. MacBook Air (1.8 Ghz, 8 Gb RAM, 10.14.6, 256 Gb SSD) all patched through a Vodafone router and BT Wi-Fi Extender, Canon TS8351 printer/scanner.