I know of two live video channels showing live feeds of rover dives:
Okeanos Explorer for dives with the NOAA Ship Okeanos Explorer.
Nautilus live for dives from the Nautilus, operated by the Ocean Exploration Trust.
Does anyone know others?
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SOI operates Falkor, which also broadcasts live video. They stream via youtube, currently, as does OET.
Occasionally other operations, such as Woods Hole, will operate telepresence cruises, but these three are consistent operators in the space as they have dedicated ROVs and satellite equipment/contracts for their ships. They co-publish an annual supplement to The Oceanography Society's spring issue: https://tos.org/oceanography/issue/volume-32-issue-01-supplement
-Ethan (formerly with OET)