"Falsified" is more philosophical than scientific distinction.
Newton laws have been falsified somehow, but we still use them, since usually they are a good approximation, and are easier to use than relativity or quantum mechanics.
The "action at distance" of Newton potentials has been falsified (finite speed of light...) but again, we use it every day.
So, in practical terms, no, Newton laws are still not falsified, in the sense that are not totally discredited in the scientific community. Classical mechanics is still in the curriculum of all universities, in a form more or less identical that 200 years ago (Before Relativity, quantum mechanics, field theory).
Most concept in physics fit more in the category of "methods" rather than "paradigms", so can be used over and over again. And all current methods and laws fails and give "false" results, when used outside their range of applicability.
The typical example of "falsified" theory is the Ptolemaic system of Sun & planets rotating around the Earth. However, philosopher usually omits the facts that:
- Ptolemaic system was experimentally pretty good at calculating planet motions
- Most mathematical and experimental methods of the new Heliocentric paradigm are the same of the old Ptolemaic
So the falsification was more on the point of view, rather than in the methods.