Reggio Emilia is an Italian education framework based around a dialectic of theory and praxis. Or, in Reggio terms "observation and provocation." It is radically democratic as all classroom materials are made accessible, our notes on the kids are accessible, and the curriculum is based on child interest. It was created by the community in the famously red Reggio Amelia using post WWII reconstruction money, and based on the ideas of a Marxist educator and theater critic. If any of you teach or have young children, this shit is worth checking out.
I don't know anything about any of these programs so this helps as a start.
To be clear, Quaker isn't a specific program. It's a religion, but their religious schools tend to look a certain way just due to their faith (lots of concensus, student participation in admin, lots of nature stuff, emphasis on growing as a person in all capacities.)