Regs: Dive Rite. But, I have only tried Dive Rite, Hollis, Apeks, Oceanic, and ScubaPro (that I can remember), so my favorite may not be the best.
BCD: My favorite is a Dive Rite wing on a whatever-is-least-expensive back plate. But, if I had to buy an integrated BCD, it would probably be an Aqualung Outlaw. Or possibly a Zeagle Express Tech or a ScubaPro LiteHawk. But again, I haven't used very many different integrated BCDs. I have not used any of the 3 I listed. I haven't used any kind of integrated BCD at all in over 2 years. Only back plate and wing. For BP/W, I have only tried wings from DSS, Dive Rite, Halcyon, HOG, OMS, and Oxycheq. The Dive Rites and HOG have been my favorites, but there may be others I haven't tried that I would like better.