What about the coloured HOMFLYPT? It's clearly stronger than the HOMFLYPT. Whether it is a complete knot invariant is (I believe) open. Mutation preserves the HOMFLYPT polynomial. The 2-variable HOMFLYPT fares better, but also isn't a complete knot invariant. Examples of knots with the same coloured Jones polynomials (all colours), HOMFLYPT, and Kauffman polynomials, but possibly different coloured HOMFLYPT polynomials, are given in Proposition 1.5 HERE.

I agree that this is a badly posed question which should probably be closed. My motivation for answering is to advertise the references, which I think are lovely papers with closely related results.