From what Vicious told me some time ago, the easiest thing to do was to squat, deadlift, dip, chin. That would cover pretty much all bases for most people. Once you built a foundation on those four, you could bring up any lagging areas. This is my goal once I start lifting again. I was trying to determine whether I'd be okay without rows. I figured deadlifts and chinups/pullups would suffice. My worry is more regarding the loads one is capable of using with dips and pullup.
Every pound added to a dip or pullup isn't the same as a pound added to a bench or row, is it? If that were the case, bench presses and rows would be far superior for loading the musculature. I can't see that as true, though, because I feel sufficiently wiped out after some heavily loaded bodyweight movements.