Superglue is generally brittle and has low impact strength, especially to plastics such as polyethylene or polypropylene. Certain brands like Krazy Glue (contains a phenol) or Surehold 302/308 (contains benzene) have solvents to help etch plastics to improve mechanical adhesion, but with unknown plastics YMMV. It's also not suitable for filling gaps, although baking soda may be added to do so.
Epoxy is also brittle but fills gaps well. Note that one of the two parts is nearly entirely Bisphenol-A
Polyurethane glues like Gorilla Glue, Elmer's Glue-All Max, Rhino Ultra and Titebond Poly are also brittle to impacts but much stronger to bending. They foam up and make a huge mess which is especially unfortunate because no solvent can...