Howdy! Recent events in my life have left me without a GPU, so I'm compiling a list of games that can run okay on the Intel 620. I am not aware on the deviation between integrated graphic chips models, so these games may not work for you! Okay is defined as a minimum of at least 30 fps, and 1080p, though exceptions are possible. These games are mostly from my Steam library with a few exceptions. Not every post on here needs to be about Powerhouses 😛 https://downloadnox.com/
As a general rule, most classics will run fine on your machine! if it looks like it could be run on your machine, give it a try! Steam offers refunds for a reason. It's good to really know your hardware, and you will get games beyond this list!
Aperture Tag: The Paint Gun Testing Initiative - Fun little game that's cheap. Expands on Portal 2's various paints.
The Binding of Isaac: ([Re]Afterbirth) - A fun difficult rouge-like dungeon crawler. Choose which version is best for you!
Every Counter-Strike game - If you want to get into shooters, but think you don't have the machine for high FPS, CS is for you. Competitive community that also has a casual following.