They were good with some of it, and other parts were kinda retarded. Cats moving into high-rise buildings and learning to fly to hunt birds (all in the couple hundred years it would take for the buildings to all come down) was particularly retarded.
A big problem, that they couldn't really avoid, was dealing with HOW all the people disappeared. They are showing a "Rapture" kind of situation, where everyone just up and vanishes with everything in place, but they don't get into it. They talk about disease as a possible way to get into this "Life after people" situation, but you'd have to deal with all the dead bodies as part of it, which would have a large impact on how things go. With so many of the things they talk about, the WAY the earth becomes depopulated would factor into what happens next.
The whole show is kinda schitzo, anyway. They either needed to focus on a specific element (animals and wildlife, buildings, utilities, natural disasters and reclaiming land, etc) or pick a specific timeframe and hit ALL of those areas. Every unique show feels like a repeat, because they cover the same timeframe, and just bounce around locations or problems, there's no order to it. Or one time you're watching buildings deteriorate in NYC, next time you're in New Orleans at that time period. Would have worked better for me if it was either organized by time ( 0 Hour to year 1; year 1 to year 5, etc) or done like Planet Earth, and pick a topic and follow it through. It's just too all over the place to watch more than 1-2 episodes, because they all feel like rehashes...