Of course, buying a new smartphone or tablet would be the best option, but well, times are kind of rough and not everyone can afford to spring for fresh gear.
Fortunately, XDA-Dev members have coded an intermediary OpenGL driver which can be used to play (some) Tegra-specific games on non-Tegra Android devices.
Known as Chainfire3D, the driver sits between your apps and the graphics drivers, and can intercept and/or change commands between the two. It also boasts some built-in functions, and can be further extended with plugins to provide extra functionality.
Obviously, not all Tegra games work on every Android device with Chainfire 3D – and you still have to configure whatever you download correctly after using the “fix market settings” feature.