I think Newton is the obvious choice, because he really set things in motion for the field of physics.
After that, the formulation of the laws of electricity and magnetism was absolutely significant, and had a massive impact on the world as we know it. Maxwell put them into mathematical form. It took a few others, Heaviside, Hodge, Fitzgerald, Hertz among them, to complete our understanding of classical electrodynamics, but Maxwell was the originator, and without Faraday, there is no Maxwell.
Einstein is the most prominent physicist of our time, for obvious reasons. His impact was huge. He is an icon of science and represents what it means to be intellectually brilliant to many.
Beyond that, it's hard to call one physicist influential, because everything that has been done has been the work of many people. Some behind the scenes and whose names might never be known to the public. I would name Philip Anderson, John Bardeen, Claude Shannon as pretty influential in that their work has made huge impacts. I am sure there are others I am missing.