Integrated laptop graphics: Does Intel, AMD, or Qualcomm have more game?

Most PC gamers know that a laptop with a discrete GPU from AMD or (most likely) Nvidia is a must-have for playing modern PC games on a portable machine. Yet, despite that, many people find themselves forced to accept an integrated graphics processor (IGP) bundled as part of an Intel, AMD, or Qualcomm Snapdragon processor. GPUs are expensive, tend to run hot, and require a lot of juice, and these problems can make a laptop with a GPU undesirable or unaffordable.

So, if you want to game on a laptop with integrated graphics...