I don't know if anyone configures a standard unit in such a way. Some standalone laser cutters could accept a through-flow from a coil.
One approach would be a flying-optics machine, where the material could be fed in, the parts cut, and the scrap trimmed (probably by the laser) and dragged off by some unloading device.
Of course, a lot depends on the configuration of the parts to be cut- how they can be handled, etc.
For fairly thin sheet, even a hybrid machine (Amada's Pulsar) can be used- just need a good sag of sheet between the machine and the coil/leveller equipment.
cheers
Jay