The present technology relates to systems and methods for enclosing an anatomical opening, including shock absorbing aneurysm devices. In some embodiments, the systems include a closure structure comprising a distal-facing aspect configured to at least partially occlude the aneurysm and a supplemental stabilizer connected to the closure structure. The supplemental stabilizer can be configured to reside in a parent artery and press outward against a luminal wall thereof. The systems can further include a shock absorbing structure coupled to a proximal end portion of the closure structure and to a distal end portion of the supplemental stabilizer. The shock absorbing structure can inhibit movement or dislodgement of the closure structure or the supplemental stabilizer relative to the aneurysm.
