Many of deformations shown can be made with an Extrude + Boolean Diff
Some other by the Flow Function

But sure they are not in one tool Gizmo :)
...but maybe yes with this one ! ;)
Mostly other by Show Points + Edit Frame ...so Move, Rotation, variety of Scales... ;)
here just a many few by Rotation of Edit Frame that you control on the other views than the 3D one!