This article is from the alt.comp.lang.learn.c-c++ Frequently Asked Questions. Compiled by Sunil Rao firstname.lastname@example.org.
Before going further, I should mention that I am not a C++ programmer myself, and the recommendations listed here are based on positive comments I have heard from others.
The C++ equivalent of K& R2 is "The C++ Programming Language", 3rd Edition, by Bjarne Stroustrup. Experienced C++ programmers love it; however, many beginners seem to find it very hard going indeed. Like K& R2, it assumes basic familiarity with programming concepts and is not really intended for the absolute beginner. It does not assume any previous knowledge of C. http://www.research.att.com/~bs/about_3rd.html
A more accessible book that is intended for beginners is "C++ Primer", 3rd Edition, by Stanley Lippman and Josée Lajoie. This book is thorough, and conforms to the C++ standard. It is reportedly extremely clear and detailed, and, again, does not assume any previous knowledge of C. http://cseng.aw.com/bookdetail.qry?ISBN=0-201-82470-1& ptype=0
Another text I've seen seen particularly recommended is "C++ - How to Program", 2nd Edition, by H M Deitel and P J Deitel. Again, this text does not assume prior knowledge of C. http://www.deitel.com/products_and_services/publications /cpphtp2.htm
Other texts I have seen recommended a number of times on the C++ newsgroups include the badly-named-though-often-recommended "Teach Yourself C++ in 21 days" by Jesse Liberty, "C++ Primer Plus" by Stephen Prata, and "Thinking in C++" by Bruce Eckel. http://www.libertyassociates.com/book_edit.htm#21 Days http://www.bruceeckel.com/books.html#ThinkingInCPlusPlus
Bruce Eckel has also placed a "beta" of the second edition of his "Thinking in C++" online as well. Do remember that it isn't the final version and that there might remain some as-yet undetected errors. http://www.eckelobjects.com/ThinkingInCPP2e.html The C++ FAQ contains some recommendations for C++ books as well.