Eggs Match3

Eggs Match3 is one of the Puzzle games here that asks for no download and no sign-up. It is built for touch, so a phone or a tablet is the natural place for it. Its tags here are casual, match 3, match-3, match3, matching.

It is drawn for a tall screen, so it fills a phone held upright rather than a wide monitor. Everything runs client-side, so there is nothing to set up before you start.