The three laws are:
First law: The velocity of a body remains constant unless the body is acted upon by an external force.
Second law: The acceleration a of a body is parallel[disambiguation needed ] and directly proportional to the net force F and inversely proportional to the mass m, i.e., F = ma.
Third law: The mutual forces of action and reaction between two bodies are equal, opposite and collinear.
The first law had already been formulated by some philosophers prior to Newton, unusually, Hobbes (not generally taken to be interested in physical phenomena in themselves) said in the Leviathan '...[the proposition] that when a thing is in motion it will eternally be in motion unless somewhat else stay it, though the reason be the same (namely that nothing can change itself)...', given his reasoning, I think it safe to mean constant speed and direction, otherwise change is occuring and he explicitly rules that out. I think the same proposition is mentioned in Lucretious's De Rerum Natura.
Are there any antecedents for the second and third law, in either the scientific or philosophical literature?
I know that Hooke asked Newton to confirm that an inverse square law directed towards the Sun acting on the Earth would result in Elliptical motion. Though I don't have a reference for this, it leads one to suggest that Hooke understood the import of the second law.
This just leaves the Third Law.