According to Nick Mooney there have been at least 40 documentaries and television shows on the thylacine, of which he has featured in at least 15 of them¹. If you can add to the meagre list below please let me know.

Year	Details	Link
1973	The Big Country, series? episode? "Tiger Country" (features Jeremy Griffiths, James Malley, Eric Guiler etc.)	Free to watch
1973	Tasmanian Wild Life, c.25 min duration, only archival film footage, produced for the Hydro Electric Commission Tasmania	Free to watch
1973-93	Find the Tiger - Tasmanian Tiger Sightings, produced by Nine Network, year unknown (between 1973 and 1993), duration unknown	LINC item
1975	On the Track of Unknown Animals, 53 mins, Gordon Glenn (producer/director)
197X	The Search for the Tasmanian Tiger, Ned Terry and Alec le Fevre
197X-198X	Ask the Leyland Brothers, episode 8,	Available on YouTube
1984?	Rex & Heather Gilroy, filmed June 1984, aired 1984? source: Gilroy, Rex. (1985). Trailing a Tiger. Australasian Post, 31 January.
1987	Animals of Australia in Close Up, narrated by Dr. Michael Archer, 52 mins
1989	Tiga, a film by Lucinda Clutterbuck ; animated by Lucinda Clutterbuck & Elsa Argemio. ["Various people recount their feelings when they saw, or thought they saw, a Tasmanian tiger"]
1994	ABC Video (1994). Clash of The Carnivores. Natural History Unit.
1994	Mysterious Universe, season 1?, episode?, On the Trail of the Big Cats	Available on YouTube
1995/96	Lost Animals, episode? "Thylacine", David Day	Free to watch
1996	Kratt's Creatures, season 1, episode 5, In Search of the Tasmanian Tiger, originally aired 7 June 1996, 27 mins	Available on YouTube
1996	Wellington, Craig. (1996). The Tasmanian Tiger. The Definitive Documentary, (videotape). Hobart: Winning Post Productions.	Available on YouTube
1997	Animal X, series 1, episode 11, "Yeti, hypnotising dog, Thylacine [Russian Bigfoot, Hypno Dog, Thylacine]", Storyteller Productions	Free to watch
1998	The Crocodile Hunter, season 2, episode 7, "Where Devils Run Wild"
1998	The X Creatures, season 1, episode 6, "Beyond the Jaws of Extinction", Chris Packham (host), originally aired 30 September 1998
2001	Extinct, season 1, episode 6, The Tasmanian Tiger, originally aired 30 October 2001 (UK), 30 mins
2002	O‘Neill, Patrick. (Producer/Director/Writer). (2002). End of Extinction: Cloning of the Tasmanian Tiger. Silver Spring, MD: Discovery Channel/TLC.
2002	Animal X, season 2, episode 7, "Incredible dog journeys, thylacine, Swedish lake monster", Storyteller Productions/Discovery Channel	Free to watch
2003	Killer Instinct with Rob Bredl, season 4, episode 17: "Devil's Island" aired 25 August
2004	Animal X: Natural Mystery Unit, episode 3, "The Mystery of the Thylacine", Storyteller Productions/Discovery Channel	Free to watch
2005	Phenomena Magazine. Secrets of Science - The Resurrection of the Tasmanian Tiger (Documentary, F 2005)
2009	MonsterQuest, season 3, episode 13, Isle of the Lost Tiger, originally aired 13 May, 2008 on History Channel	Available on YouTube
2011	Stranger Than Nature, season 2, episode 9, "Tasmanian Tiger Terror", featuring Murray McAllister, c.15 minutes	Available on YouTube
2012	Wild Case Files, season 2, episode 7, Tasmanian Tiger Terror, Tigress Productions, originally aired 7 September 2012 (USA), IMDB: https://www.imdb.com/title/tt4734120/?ref_=fn_al_tt_2
2013	Ray Mears' Close Encounters, episode 2 of 2, Tasmanian Devil, originally aired on ITV, Wednesday 24 July, 60 minutes
2013	"Timid Devils and Ghost Tigers"	Available on YouTube
2015	Boogeymen. (aired 16 November 2015). Season 2, Episode 9: Beast of Buderim. "A strange creature believed to be related to the Tasmanian Tiger is spotlighted". source: http://www.tvguide.com/tvshows/boogeymen/episodes/685615/
2015	Hunt for the Tasmanian Tiger, 2 part special, originally aired Monday 14 & Tuesday 15 December at 9:30pm on Animal Planet.
2016	Extinct or Alive: Tasmanian Tiger, produced by Hot Snakes Media, originally aired 31 May 2016, 42 mins
2016	Strange World - episode 7, Tasmanian Tiger presented by Alex Hannaford
2017	Expedition Unknown, season 3, episode 12, Tracking Tasmania's Tiger, originally aired 25 January 2017 (USA), 42 mins, IMDB: https://www.imdb.com/title/tt6470232/?ref_=ttep_ep12
2017/18	LIVING: The Thylacine Dream, produced by John Maguire and Neil Waters, approx. 80 mins	Purchase a copy
2017/18	Thylacine Road Trip, 12 web episodes planned, 10 released so far, produced by Truly Wild Films.	Rent from Vimeo

Fictional Shows, Programs, Telemovies etc.

Year	Details	Link
2000	The Legend of Dogwoman, telemovie, produced by Beyond Simpson Le Mesurier, approx. 98 minutes, originally aired Channel Nine (Australia), Sunday July 30²
2014	Wild Kratts, season 3, episode 26, Back in Creature Time, Part 2: Tasmanian Tiger, 7 July 2014	Free to watch
2016	Out of the Shadows, web series, 8 episodes	Free to watch

Notes

¹I asked him this question as part of a special Q&A organised by members of 'The Thylacine Open Discussion and Debate Page' Facebook Group. The group is private, so that you will need to be accepted before being able to see the questions and answers. However, Chris Rehberg has kindly reproduced them on his Where Light Meets Dark website for all to see.

² Overview: http://www.australiantelevision.net/dogwoman/the-legend-of-dogwoman.html