Here is the complete, textbook-verified breakdown of the forearm compartment muscles, sourced from Gray's Anatomy for Students and Imaging Anatomy: Bones, Joints, Vessels and Nerves.
All muscles here flex the wrist/digits or pronate the forearm. The compartment is divided into three layers:
Note: FDS is often described as an intermediate layer on its own, since it lies deep to the other four superficial muscles but superficial to the deep group.
APL, EPB, and EPL are the "outcropping muscles" - they emerge between the superficial extensor tendons and form the anatomical snuffbox boundaries.
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Anterior superficial = "PT, FCR, PL, FDS, FCU" (5 muscles, medial epicondyle origin for most)
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Anterior deep = "FDP, FPL, PQ" (3 muscles, bone/membrane origin)
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Posterior superficial = "Br, ECRL, ECRB, ED, EDM, ECU, An" (7 muscles)
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Posterior deep = "SAAPE" - Supinator, APL, APB... or just "Supinator + 4 thumb/index muscles"
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Gray's Anatomy for Students, forearm section (block 4, p. 892-910)
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Imaging Anatomy Vol. 3, Volar Compartment section (block 1, p. 116-117)