Final answer:
Trawls are the kind of vessel fishing apparatus that restricts manoeuvrability, as they are large nets that create significant drag on the vessel.
Step-by-step explanation:
The kind of vessel fishing apparatus that restricts manoeuvrability, excluding trolling lines, is b) Trawls. Trawls are large, net-like fishing apparatuses that are dragged along the sea floor or through the water column. Due to the size and the drag created by these nets, they significantly reduce the vessel's manoeuvrability. This means that vessels using trawls must commit to a straight-line path for the duration of the trawling operation and cannot easily make quick changes in direction compared to lines or other methods that are less restrictive.