They're called Compact bars, and they're exactly what you appear to be looking for.

I have them (in my case - PRO PLT Compact II) on my roadbike after a long session with a Retul fitter. I used to have traditional drops, but the angles meant that either the hoods were comfortable, or the drops. With the Compact, they're both accessible and comfy.

The logic behind traditional drops has been that in the drops - the aero position you'll want to race in - your hands are on the brake-levers, and only a short distance away from the downtube shifters. The hoods, however, were angled and not very useful - though they weren't useful anyhow. Nowadays with STI levers, people spend most of their time there (nothing wrong with that!), and need different handlebars to accommodate that. Compacts are shaped to create a seamless, flat section on the hoods, and then curve down sharply to still give you a good angle on the drops. They are shallower (as in, the drops are less aggressive), because it's assumed that: A) a modern rider on the hoods will set the hoods up as aggressive enough - traditional drops would then be far too deep for most, and B) If you're flexible enough, you can still get lower - but with your arms more relaxed.

Downsides? You won't reach the levers easily from the drops - but then again, that's not a big loss: A rider within the peloton doesn't have to be aero, and can stay on the hoods. The rider pulling the peloton - or the one breaking away solo - needs to be aero, but he doesn't need the brakes.