Dead Pixel Test
Pick a color to fill your whole screen, then look closely for any dot that's the wrong color or stays black. A dead pixel stays black on every color. A stuck pixel shows one color (red, green, or blue) and won't change. Cycle through all the colors to catch both. Click anywhere or use the arrow keys to move between colors, and press Esc to exit.
For the clearest result, run this at your screen's native resolution and wipe the display first - dust and smudges look a lot like stuck pixels. A stuck pixel can sometimes be revived by gently massaging it or running a rapid color flicker over the spot. Everything happens in your browser, nothing is uploaded.