The present technology relates to aneurysm devices with additional anchoring mechanisms, and associated systems and methods. The aneurysm device is endovascularly deliverable to a site proximate an aneurysm near a parent artery with bifurcating branches. The device can include a closure structure comprising a distal-facing aspect configured to at least partially occlude the aneurysm. The closure structure can be formed from a generally flat pattern and is transformable between a compressed configuration and a deployed configuration. The device can also have one or more lodging elements which fold to form loop elements configured for anchoring within at least one of the bifurcating branches. The struts of the lodging elements can include hinge points which bias the folding of the lodging elements. The devices further include a supplemental stabilizer connected to the closure structure and configured to reside in the parent artery.