Soldiers Fury

Soldiers Fury is listed here under Hypercasual. There is no launcher and no install between you and it. Taps and swipes are the whole vocabulary — a phone plays it best. Catalogued as army, gun, html5, shoot, war.

It is drawn for a tall screen, so it fills a phone held upright rather than a wide monitor. Close the tab and come back later; the game is still one click away.