There are now a few startups trying to make home/DIY anaerobic digesters that you can collect the gas from. Would be interesting for e.g. keeping a greenhouse warm year-round without the electricity spend.
This is of no use in the developed world for a normal house. Try getting your home owners insurance to pay off a claim against an accident involving this. Also, according to its specs you can get 2hrs of cooking per day if you supply 5 gallons of animal manure. That's a tiny amount of energy compared to modern energy needs.
For most people this would be a novelty, maybe you could run an outdoor grill off of it.
In a landfill, only anaerobic bacteria can survive. These are unable to break down organic material as cleanly as the aerobic bacteria in a managed compost pile. See my comment at https://news.ycombinator.com/item?id=21483584 for links to sources.