Soft selection (Selection drop off)
This already exists in many 3D applications (Maya, 3D Max, and C4d, for sure) and it's often treated, not as a separate tool, but as a setting in the regular selection tools. The idea is that you can set an gradient influence area where the points directly selected are affected 100% by transform changes, while everything else is affected by the changes but adjusted to the alpha percentage of the gradient at that point's initial location. I know that sounds like a mouthful, but it's very similar to how the mesh warp works (minus the having to convert anything and retaining full control of all your points individually at all times).
Here's a tutorial of how the tool works in Maya:
Carter Lynn Boyce commented
This would be an amazing addition.
If we could soft select, or gradient select points in a group or layer, that would be very useful. Without this tool, I try to use envelope distort.