When reading Feynman, don't miss the fact that the original audio recordings are now freely available [1], which, even speaking as someone with a strong preference for reading vs. listening or watching instructive material, shouldn't be missed. Feynman's sheer enthusiasm for the material is hard to get across in print.
In the spirit of SICP, I also like Spivak's less conventional Physics for Mathematicians [2], but, as the title suggests, this assumes more, or at least different, mathematical prerequisites than most introductory mechanics texts. "Strong undergraduate maths background — at least one course each in linear algebra and differential equations, say, or equivalent self-study — with a bit of motivated extracurricular work in differential geometry" sounds about right, but here I'm basically just describing my own background when approaching the book, so YMMV.
In the spirit of SICP, I also like Spivak's less conventional Physics for Mathematicians [2], but, as the title suggests, this assumes more, or at least different, mathematical prerequisites than most introductory mechanics texts. "Strong undergraduate maths background — at least one course each in linear algebra and differential equations, say, or equivalent self-study — with a bit of motivated extracurricular work in differential geometry" sounds about right, but here I'm basically just describing my own background when approaching the book, so YMMV.
[1] https://www.feynmanlectures.caltech.edu/flptapes.html
[2] https://archive.org/details/physics-for-mathematicians-mecha...