In its many embodiments, the present invention provides certain iminothiadiazine dioxide compounds, including compounds Formula and tautomers and stereoisomers thereof, and pharmaceutically acceptable salts of said compounds, said tautomers and said stereoisomers, wherein each of ring A, ring B, ring C, R2, R3, R4, m, n, p, and -L1- is as defined herein. The novel compounds of the invention may be useful as BACE inhibitors and/or for the treatment and prevention of various pathologies related thereto. Pharmaceutical compositions comprising one or more such compounds (alone and in combination with one or more other active agents), and methods for their preparation and use, including Alzheimer's disease, are also disclosed.