Methods of fabricating tamper-respondent assemblies and electronic assembly packages are provided which include multiple, discrete tamper-respondent sensors that overlap, at least in part, and facilitate defining a secure volume about one or more electronic components to be protected, such as an electronic assembly. The tamper-respondent sensors include a first tamper-respondent sensor and a second tamper-respondent sensor, which may be similarly constructed or differently constructed. In certain embodiments, the tamper-respondent sensors wrap, at least in part, over an electronic enclosure, and in other embodiments, the tamper-respondent sensors cover, at least in part, an inner surface of an electronic enclosure to facilitate defining a secure volume in association with a multilayer circuit board to which the electronic enclosure is mounted.