plotting – Getting a list of accurate coordinates from a ContourPlot

You can use the Cases idea that’s usually used with Plot (see this post) if you first send the contour plot (read: GraphicsComplex) through a Normal.

Normal@ContourPlot(Norm@{x, y} == 1, {x, -1, 1}, {y, -1, 1});
Cases(%, Line(data_) :> data, (Infinity))((1))

{{0.0690086,-0.99758},<<261>>,{0.0690086,-<<17>>}}