As far as I know, there have been some unconventional directions of New Economics, such as The Institute for New Economic Thinking
http://ineteconomics.org/ .
I myself only have had a very primitive touch on the 4 schools/directions below:
1. Soros -
http://ineteconomics.org/george-soros-why-we-need-rethink-economics-0
" George Soros: Why We Need To Rethink Economics ; In this short interview, Institute for New Economic Thinking co-founder George Soros tackles the question at the heart of the Institute’s mission: What’s wrong with economics and what can we do to change it?
“Economic theory needs to be rethought from the ground-up,” Soros says. He specifically criticizes economists who are trying to produce theories that behave like laws in Newtonian physics, which Soros has long believed is impossible.
To change this, Soros says economics needs to reexamine its own behavior. “You need a new approach with different methods and also different criteria of what is acceptable,” he says. And he says that economic thinking needs to begin addressing real-world policy questions rather than simply creating more mathematical equations."
2. Deming -
http://maaw.info/ArticleSummaries/ArtSumDeming93.htm
" Deming, W. E. 1993. The New Economics For Industry, Government & Education.
Cambridge: Massachusetts Institute of Technology Center for Advanced Engineering Study.
In the preface Deming states that the present style of management is a modern invention and represents "a prison created by the way in which people interact." The present system includes competition between people, teams, departments, divisions, students, schools and universities. Although economists have taught that competition will solve our problems, we now know that competition is destructive.
A better approach is for everyone to work together as a system. The solution to problems comes from cooperation, not competition. We need a transformation to a new style of management Deming refers to as Profound Knowledge. This includes four parts: appreciation for a system, knowledge about variation, theory of knowledge, and psychology. The purpose of this book is to start the reader on the road to knowledge and to create a desire for more knowledge. This book, according to Deming, is a textbook for engineering, economics and business students, to be used to prepare students for the future. "
3. The Quaker Economist :
http://tqe.quaker.org/
" The Quaker Economist is a free electronic journal devoted to examining worldwide economic, social, and political problems as if people matter. It harks back to original Quaker beliefs in the validity and importance of the individual. Readers are cordially invited to send us brief commentary on these essays. We include an edited selection of these comments at the end of each essay. "
4. Ethical Capitalism
http://www.ethicalcapitalism.net/
" The Ethical Capitalism Network is a non-party political organisation, but obviously some people in the network will be members of various political parties in order to try to encourage them to adopt more ethical policies, leading to ethical societies across the world (and hopefully an entirely ethical world eventually).
I live in Britain, and perhaps an ethical society will first be created here, but it could quickly spread to many other countries around the world. Hopefully ethical capitalism will be capable of solving many if not all of the world’s most serious problems, including poverty, unemployment, famines and environmental destruction. The struggle for ethical capitalism could lead to some sort of socialist world, or an ethical world with some capitalist and some socialist countries, and I personally am a socialist, but the Network is open to those of other political persuasions. "