The key is the frivolous word in the GP comment. Aircraft actually are fairly efficient, it's just that the mileage of a single flight is a substantial fraction of most people's total annual driving. That old Jevons paradox again.
As for electric aircraft: think "powered glider" rather than "emissions-free 747". Roughly half an airliner's takeoff weight is fuel, and that's burnt up over the course of the flight. Battery storage densities are on the order of 1/100th to 1/50th of petrol or kerosene (latter is essentially jet fuel). The trend's been slight on improvement, and though there've been some battery-powered aircraft, they're comparable to a very-small-engined aircraft with a tiny fuel tank -- think 20-40hp and less than a gallon of fuel (about 15-30 kW and 2-3 litres, for rational people).