If you've seen some of the high resolution videos of neural activity captures from even simple fish, the slightest motor movements activate hundreds of thousands of cells in a chaotic pattern. Neural circuitry is not neatly laid out like a silicon chip, its a forest of inter-connectivity that resists analysis even with extremely detailed visualization and data captures.
I think the best story for understanding circuitry in vertebrates comes from the work on hierarchical pattern generators -- where much of the work was done on lampreys.
Grillner, S. (2006). Biological pattern generation: the cellular and computational logic of networks in motion. Neuron, 52(5), 751-766.