Speaking of powered descents, while playing with the 1970s-era "lunar lander" computer game I soon learned that the most fuel-efficient technique was to land at full throttle, timing your burn to decelerate to a stop the instant you contact the ground. This minimizes gravity loss, the bane of any powered descent. Or launch.
In other words, ideally you conduct a launch in reverse.
The problem is that there's absolutely no margin for error. The slightest error in timing or in the thrust or performance of your engine and you either hit the ground with residual speed or come to a stop above the surface, run out of gas, and fall the rest of the way.
You also see this problem in landing on Mars. Although you can use a heat shield and a parachute to remove much of your unwanted velocity early in the landing, the atmosphere is so thin that the final landing must be done on rockets - a powered descent. Although radars on the Mars Exploration Rovers (Spirit and Opportunity) gave exact altitude and velocity, uncertainty in the exact thrust and burn time of the solid fuel landing rockets still made it impossible to come to a stop just as the payload contacted the surface. The system was instead designed to come to a stop 10-15m above the surface and fall the rest of the way on airbag cushions.
Unlike solids, liquid rockets can be shut off and restarted and their performance measured and adapted to in real time. LRO has provided high resolution maps of many potential lunar landing sites, eliminating the need to search visually for a safe landing spot during approach. The two GRAIL spacecraft are about to provide a very high quality lunar gravity model. So everything needed to approach the ideal full-power landing is now coming together and future lunar landings should be possible with less propellant. But it will still be a hell of a ride.
Another idea that occurred to me is to give yourself a comfortable propellant margin for landing and then pump any residual propellants to the ascent stage. Then your margin wouldn't be wasted; the more you have after landing, the greater the mass of samples you could carry with you when you return.