Here's another example of Landfill gas recovery/use:

Columbus Ohio uses its landfill gas to power its municipal vehicles like buses, trash trucks, and snow plows. The rest of the unused recovered landfill gas is piped into the regular city gas mains where the city makes $2 million+ per year that pays for more city services. They started doing this about 13 years ago.

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And another methane recovery system:

Just last year Columbus started recovering methane from waste water a treatment treatment facility. This allows an expansion of the digester and the extra methane produced and recovered runs a 6MW onsite methane generator producing heat and electricity to run the waste water treatment facility.

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Nice, would never think about such a use. We should definitely come up with more creative things to do things like this, because it heavily reduces greenhouse gas emissions.

One thing though: do they filter the gas? I assume some of it might be toxic.

Neat, this is kinda like regenerative breaking but for methane I'm assuming.

This is actually very cool.

Crapper and Sons Landfill

Excellent name

Does it make sense to use burn methane for heating, when using hear pumps or geothermy would be more efficient and less polluting?

Producing methane from wastes is a good idea. This doesn't produce enough methane to cover all uses. I heard it's best to prioritize uses that are hardest to electrify (buses, heavy industry, ..).