Option to cut, trim or divide open paths (lines).
For example if "Divide objects below" worked on open paths as well.
Or if the Knife could cut open paths, and cut straight as well.

In attached example, I would have liked to cut my lines with the circle. Instead, I had to cut every single line individually in the intersection, locking the circle and using the Outline View.

Creating interesting designs, we have just as much need for trimming/cutting lines as filled objects.

Outline command is great when you need to cut your path on every intersection.  But sadly, it also sets all strokes to None. Most of the times this is not I want. Every time when I see this function explained to somebody else, I see them adding "...but sadly it will make all your strokes vanish".
Please make an option to keep strokes.