Regarding using direct-drive (gearless) concept in renewables: If you for example think about megawatt -class wind turbine, their blade aerodynamics is optimized so that they operate at 10...15 RPM at rated wind speed. The most natural way would be to match the generator speed to this low-speed, in which case no gear-box would be needed. The main drawback is the physical size of the generator, since the physical size of electric machines is always proportional to torque (for given power, low speed means high torque and therefore physically big generator). Like also waross mentioned, (slip) losses of induction machine would be far too high at such low speeds, and the only suitable machine type is synchronous one (either with electrical- or permanent magnet excitation). Permanent magnet concept is much more common nowadays due to better efficiency and brushless operation.
Big physical size of a direct-drive generator is the main reason that the majority of the megawatt class turbines are equipped with a gear-box, which reduces the size of the generator. For example, 3 MW gearless generator rotating at 10..15RPM weighs maybe around 50...80 tons, while geared generator running at e.g. 1500RPM weighs less than 10 tons. But of course the latter one needs a gear-box, which weighs tens of tons and brings lots of potential for technical failure and costly downtime.
But nevertheless, both concepts are widely used. For example Siemens has invested a lot on direct-drive technology lately (they are using geared concept too), if you are interested, here is some more info:
Regarding the question can you generator power efficiently from low speed sources like wind, I would say definitely yes (altough it is a relative term), but the drawback is that low speed means high torque (or force), which makes the power train components bigger and more expensive, as the size of mechanical components (gear-box, generator, shaft etc) grows with the torque. Also it should be mentioned that due to need for gear-boxes and frequency converters and all the auxiliary devices, total efficiency (of a wind turbine) is not even near for example to directly-grid connected hydro-generator system.