Open these directly on the phone or tablet you want to check — none of them work meaningfully from a desktop browser, since they read hardware sensors that only mobile devices have. Touch Screen Test and Multi-Touch Test cover the display itself, while Gyroscope Test and Accelerometer Test check the motion sensors that games and mapping apps rely on.
They're especially useful right after buying a used phone, after a drop or repair, or when an app that depends on one of these sensors — a game using tilt controls, a fitness app counting steps — starts behaving oddly.