Although some progress has been made in testing trawls that rise higher off the seafloor to avoid benthic habitats, the use of such techniques are rarely used, and none can avoid "rare" avoid endangered living corals. See: https://www.greenpeace.org/aotearoa/press-release/protected-corals-destroyed-in-six-tonne-bycatch-disaster-from-a-single-bottom-trawl/
Also see the video of trawl bycatch from the National Geographic Society, below.
Featured Bycatch Species

The once-abundant Mediterranean monk seal has been adversely impacted by human activities, ranging from exploitation for fur and oil to habitat fragmentation that have occured over many centuries.