I'd call only very outstanding textbooks "bibles". For me these are (in order of bible status and sorted in categories of 3 books/book series in any category, but only for theory, because I don't feel any experimental book deserves this title ;-)))
It's of course highly subjective, and
General theory books (including a broad overview over all topics: mechanics, classical electromagnetics, quantum mechanics)
A. Sommerfeld, Lectures on theoretical physics, 6 vols. (it's only classical physics but for me still the unreached favorite)
L. D. Landau, E. Lifshitz, Course on theoretical physics
R. P. Feynman, The Feynman Physics Lectures, 3 vols.
Classical electromagnetics
J. D. Jackson, Classical electrodynamics
J. Schwinger, Classical electrodynamics
M. Schwartz, Principles of electrodynamics
General Relativity
C. W. Misner, K. Thorne, J. A. Wheeler Gravitation
S. Weinberg, Gravitation and Cosmology
M. Blau, Lecture notes on general relativity
http://www.blau.itp.unibe.ch/GRLecturenotes.html
Non-relativistic QM
P.A.M. Dirac, Principles of Quantum Mechanics
W. Pauli, Wave mechanics
S. Weinberg, Lectures on Quantum Mechanics
Relativistic QFT
S. Weinberg, Quantum theory of fields, 3 vols.
A. Duncan, The conceptual framework of quantum field theory
J. F. Donoghue, E. Golowich, B. R. Holstein, Dynamics of the Standard Model
Statistical Mechanics
A. Katz, Principles of statistical mechanics
L. P. Kadanoff, G. Baym, Quantum Statistical Mechanics
H. Callen Thermodynamics