I'm assuming you already have some absolutely basic knowledge of the major physical theories, at the level of Brian Greene's The Fabric of the Cosmos (which was recommended in another comment). The books I'll recommend take you deeper into the theories (emphasizing philosophical implications) without excessive mathematics. If you don't have knowledge at this level, read Greene's book first. Some of the books I'm suggesting aren't entirely up to date, but none of them are obsolete. I'm not aware of any more recent books that cover the same material with the same quality. I teach philosophy of physics to non-physics majors, and these are usually among the books I assign (supplemented with recent papers, lecture notes, etc.).

Space-Time: Geroch, General Relativity from A to B

Quantum Mechanics: Albert, Quantum Mechanics and Experience

Statistical Mechanics: Ben-Naim, Entropy and the Second Law: Interpretation and Misss-Interpretations (Supplement with Albert's Time and Chance if you want to go deeper into the "Arrow of Time" issue)

Quantum Field Theory and the Standard Model: Oerter, The Theory of Almost Everything (A pretty superficial book compared to the others on this list, I admit, but I'm not aware of any philosophically deep treatment of QFT that doesn't presume considerable math knowledge. You could also try Feynman's QED, which is excellent but very out-dated.)

Cosmology: Tegmark, Our Mathematical Universe (Good basic overview of cosmology, but the philosophical speculation doesn't meet your third requirement. Try Unger and Smolin's The Singular Universe and the Reality of Time for a counterpoint.)