There is always more work to do. The problem is that there might not be someone willing to pay enough to have it done. This is where the government social program would come in. They basically supplement the income for the person doing the job. The idea being that it is better for the person to work then to just get aid. At the same time, society benefits because that person is being productive.
This is counter to one of the big ideas to solve the problem of loss of jobs, universal basic income. It is good that is being studied to determine if it is a good way to move forward. I think there are people who will make the most of that, which is great. I think there are also people who can fall between the cracks. Within a workfare type program, self motivated people can also be addressed. Perhaps some people's job could be working on their own project, such as open source software or even being a musician.