At US based carriers, at least during my 7 year stint in an RJ and now a 1 year stint heavy international, I have almost never seen it.
I have never seen anyone do a raw data takeoff in either the E145 or 744. I have never seen anyone fly a raw data instrument approach in actual conditions, except for myself a few times in the E145. The companies' guidelines for both airplanes contained something to the effect of "the use of flight directors is strongly recommended for ALL departures and required for RNAV departures....". While raw data arrivals were allowed, very few pilots performed them because they increased the workload for both pilots. When operating into places like ORD, EWR, JFK, etc, you're already busy enough.
The only time anyone seems to turn the flight director off is if they're on a visual and they can't get the flight guidance to do what they want it to do for some reason.
It's a shame really; but to be honest on the 744 I struggle just to maintain landing currency. Needless to say, the opportunity to fly raw data does not present itself often at all, especially with the proliferation of low RNP RNAV arrival and departure procedures. Hell, the 744 doesn't even have a CDI displayed during normal ops with the ND's in map mode. At this point I don't fight the automation anymore, I just accept it as part of the job. If things really went south and we were forced to fly raw data off standby instruments it probably wouldn't be pretty, but there's no doubt we could still get the plane down safely. I'm sure the pilots of AF 447 probably thought the same thing though.
If regulatory agencies or air carriers really want their pilots to become more proficient in raw data flying they should incorporate it into their training curriculum. Steep turns and stalls, while nice for getting a feel of an aircraft, don't really have much application in real world air carrier operations. In 7 years of air carrier flying, I've NEVER done any raw data work other than steep turns and stalls as part of a simulator training cycle.