For those interested in Feynman, the man, I highly recommend "Surely you must be joking, Mr. Feynman.". It's a mostly fun, sometimes sad, look at his life.
I had tried to find this before and it was like Microsoft were making it for Windows users only.
Give it a shot; there's a fair number of non-mathy digressions that are worth reading, and you sound like you have the background to handle the mathier parts.
Of course different books help most for different people. This one's not the best if you want to pass a course and put it behind you. I think it's very much worth checking out if you want to be challenged and inspired to tackle problems for yourself and perhaps pick up a bit of how Feynman thought. There are very few other introductory texts by physicists of his stature: Matter and Motion by Maxwell, and, well, anything else? (Not counting popularizations; it's a fuzzy distinction, but these are securely on the textbook side.)
Actually, I think Feynman's influence on introductory physics teaching is much smaller than it is often stated. More "standard" courses that put a higher emphasis on how to actually carry out computations are more successful first physics courses. Feynman's lecture notes are an illuminating read to gain a broader perspective when one has already learnt how to "do" physics. IIRC in the preface Feynman himself actually expresses his disappointment with how well his students actually managed to learn from his teaching.
Feynman as a researcher was a master at presenting his (innovative and important) results in insightful ways, such that they appear almost obviously plausible from these alternative angles. But he did that after powering through insanely hard, long calculations to really obtain these results. Those are the most important part of the work.
Anyway, great series. I happened upon the 50th anniversary hardbound edition in a Los Alamos museum bookstore.
Chapter 1, Atoms in Motion
Chapter 2, Basic Physics
Chapter 3, Relation of Physics to Other Sciences
Chapter 4, Conservation of Energy
Chapter 7, Theory of Gravitation
Chapter 37, Quantum Behavior
The sizable section that analyzes ways to try "beat" the two-slit electron experiment is also amazing.
I don't care so much about particle interactions, but if I can get a better intuition for thinking about common mathematics, that would be more useful to me.