Right, the books on my desk atm:
Tyre and Vehicle Dynamics, Second Edition - Hans B. Pacejka - ISBN 0-7506-6918-7
This booking is essentially all about tyres, and goes into great depths on different methods for modelling tyres, including his famous Magic Formula, and IMO goes far beyond the scope required by race sims (at the current level of development). While not an all round book, and certainly not a book to start with, it's a good book to get at some point and is almost essential if you are going to be working with the Magic Formula.
Fundamentals of Vehicle Dynamics - Thomas D. Gillespie - ISBN 1-56091-199-9
I've only had this book more recently and have read very little of it (we specifically got the book due to the section it has on engine and drivetrain inertia), but it does cover a broad area, and despite example figures being in non-SI units, the equations as listed do not contain any silly conversion constants. Looks like it could be a solid first book in the area.
The Multibody Systems Approach to Vehicle Dynamics - Michael Blundell and Damian Harty - ISBN 0-7506-5112-1
This book is another I've read little of, is perhaps similar to the previous book in that it covers a broad area, but looks a lot more maths based. Uses SI units throughout. Generally looks a bit more advanced than Gillespie's book. May or may not be a better book to begin with, depends how mathematically adept you are and in you want to be thrown in with the heavy stuff.
Motor Vehicle Dynamics (Modelling and Simulation) - Giancarlo Genta - ISBN 981-02-2911-9
This book is another that covers a broad area, perhaps contains a few more hard facts and figures than others. Again, I'm not so familiar with this one.
Tires, Suspension and Handling - John C. Dixon - ISBN 1-56091-831-4
This book I have read a bit more thoroughly, seems to have a bit more text between equations, and larger, cleaner diagrams. Also has a few pages at the back for facts and figures. Perhaps not quite as broad as some.
Race Car Vehicle Dynamics - Milliken & Millken - ISBN 1-56091-526-9
The largest, thickest book here. Covers a broad area, but doesn't use SI units. Might have more on aerodynamics than the other books. Contains lots of advice for setting up cars too.
To be honest, I'm not sure I could clearly recommend any of these books above any of the others, I just haven't read them enough. I could spend months just reading all this text. I generally use them to look up the area of interest at the time.
HTH