In another subthread to this I posted numbers for various models of BMW, Audi, and Mercedes. I could find one Mercedes model where they report worse fuel economy and slower 0-100km/h acceleration time for the version with an automatic gearbox, in all the other models I looked at, the manufacturers rate the automatics as more efficient and having better acceleration than the manuals.
These are of course high-end current model year vehicles, if the tech they have hasn't already trickled down into cheaper cars, it will do so very shortly, making my statement even more broadly true.
Please bear in mind that manufacturers currently self-police and that they test under artificial conditions. Hence, there have already been several scandals with Honda, Ford, Hyundai and Volkswagen either manipulating, or falsifying results; not even the onboard computer can be fully trusted: the only precise measure is noting how many liters were put in and how many kilometers were driven on that quantity, and that only on the spec tire size and with the assumption that the odometer is correct.
These are of course high-end current model year vehicles, if the tech they have hasn't already trickled down into cheaper cars, it will do so very shortly, making my statement even more broadly true.