Honda has significantly improved the EPA fuel economy of the CR-V this year, compared to previous versions, but it's worth keeping in mind how they did it. The five-speed automatic transmission has significantly taller gear ratios than before. What that means is that if you live around relatively level terrain, you'll notice substantially improved mileage; but if you regularly drive in hilly terrain, it's likely you won't see that sort of improvement and might even notice the transmission hunting around more between gears.
EPA fuel economy ratings land at 23 mpg city, 31 highway with front-wheel drive, or 22/30 with four-wheel drive—making it the highest-mileage all-wheel- or four-wheel-drive vehicle in this class.
Just as in some of Honda's other models, there's a big green 'econ' button on the dash, to engage more frugal parameters for the powertrain and A/C.