Historical documentaries on the Black Death tend to be a bit dated, i.e. the most of them are not up-to-date to follow up the latest research in the last decade(s).
So, you have to watch virtually all of them with grain of salt as for their historical 'accuracy'.

I make comments on some of them, and (if possible) with the link to their official streaming site:

• Karl IV. und der Schwarze Tod (in German) (ZDF, Germany, 2010, ca. 45 min. Linked to their official streaming site, valid until Nov. 23, 2020): Biographical Documentary of Emperor Charles IV of HRE (1316-78), one of the series: 'Die Deutchen (2nd season)'. Rats in the streets....portrait of the Black Death in documentary certainly has been a bit dated/ inaccurate (Prague was probably also hit by the plague in reality), but overall composition of the documentary, including the extreme weather of the Little Ice Age, the procession of flagellants, and the pogroms, with a brief scene of the battle of Crecy is excellent. By chance you can understand German, definitely recommend (one of the best in the whole series).
• Secrets of the Black Death (Nature Video, 2011, 5 min. Linked to their official channel on Youtube): Short epidemiological presentation of the Black Death and Y. Pestis by scientists whose genomes had first been decoded and finally identified with the cause of the plague in ca. 10 years ago. Unfortunately, they talked little on the historical background of this catastrophe. You can also refer to Their news article for more detail: Plague genome: The Black Death decoded, Nature 478 (Oct. 27, 2011, Open Access). doi:10.1038/478444a
• The Plague (History Channel, 2005, ca. 90 min: linked to ImDB): A bit old, but the documentary's selection of the commentators like John Aberth & John Kelly (check their name as expert authors on the academic history books on the Black Death) are OK. I'm not sure about some details, but the documentary roughly follows the famous contemporary accounts, such as Mussis & Michele da Piazza, on the course of the events.

+++

[Added]: If it is also OK to list the book based on the academic research (sorry if I misunderstand 'media' in OP's original question), those by Ole J. Benedictow was the most detailed so far, though it might be too heavy. Two primary source collection edited by Aberth & Horrox are very convenient to check how the medieval people witnessed and recorded this pan-European/ Eurasian crisis.

Alternatively, I'd recommend Kelly's one as more readable for general readers.

The subreddit's book list also recommends Hatcher's The Black Death: An Intimate History (2010).

Suggested Booklist:

• Aberth, John (ed. & trans.). The Black Death: The Great Mortality 1348-1350. A Brief History with Documents. 2nd ed. Boston: Bedford, 2017.
• Horrrox, Rosemary (ed. & trans.). The Black Death. Manchester: Manchester UP, 1994.

+++

• Benedictow, Ole J. The Black Death 1346-1353: The Complete History. Woodbridge: Boydell, 2004.
• Kelly, John. The Great Mortality. New York: Harper Perennial, 2006 (The original edition was published in 2005).