Specifically the ones that require any sort of identification of state. It kicks butt in hand eye coordination tasks and it is awesome that it can learn those hand-eye tasks automatically, but higher order reasoning is obviously out. AI makes progress every year and when those progress in individual tasks are coalesced into a coherent single entity we will have what the average person calls intelligent.

Yes, but that's because the specific ANN the Deepmind researchers used doesn't have any state. IIRC it's given the last 2 or 3 frames as input. No doubt that makes the learning easier (I should mention that reinforcement learning is used, unlike most tasks ANNs are applied to). But recently stateful ANNs (typically based on Long Short-Term Memory (LSTM) networks, from 1997 already) are becoming more and more popular. I would like to see someone make another attempt at Atari games with such a stateful network; probably already done actually.