You can't compare turbocharged engine with a NA engine of similar displacements because a turbocharged engine will flow more air. You need to compare it against an engine with similar power output. In the diesel world they've known for quite some time that they can get better efficiency out of a turbocharged engine.
I'm not disagreeing explicitly, and I know there are a lot more variables in play, but while love turbo and SC setups, I haven't seen much real-world examples of them being more fuel efficient even for the same power. Maybe it's the fault of the manufacturers and how the cars are tuned. I do know about the turbodiesels, those are pretty much the standard these days, and they must be really efficient.
Anyhow, examples (and yes I do know that AWD = more powertrain losses)
2011 WRX STI, 6-speed manual, 2.5L Turbo, AWD, ~3300lbs, 305hp/295tq, 17/23mpg (premium required)
2011 MazdaSpeed3, 6-speed manual, 2.3L Turbo, FWD, ~3250lbs, 263hp/280tq, 18/25mpg (premium required)
2011 Mustang 3.7L, 6-speed manual, 3.7L NA, RWD, ~3400lbs, 305hp/280tq, 19/29mpg (regular)
2011 Mustang 5.0L, 6-speed manual, 5.0L NA, RWD, ~3600lbs, 412hp/390tq, 17/26mpg (premium recommended)
2011 Vette, 6-speed manual, 6.2L NA, RWD, ~3200lbs, 430hp/424tq, 16/26mpg (premium recommended)
^^ Common examples, but it stays the same even if you throw in stuff like GTI, Cobalt SS, etc. Maybe it's because a lot of my focus is in the more sport-tuned world. How does the ecoboost V6 shape up against say the 6.2L V8 in terms of power/efficiency?
edit : added mfg fuel type spec