Snagged from shadowkat. Unlike the MCU one, both of these franchise lists are going to be quite... slim. For me anyway.

Bold = Watched Entirety
Italic = Watched Part
* Watched more than once.
† Watched in the first few weeks of release (at least initially, for TV shows).

Star Wars Franchise

RELEASE ORDER

* Star Wars (A New Hope) (1977)
* The Empire Strikes Back (1980)
* Return of the Jedi (1983)
The Phantom Menace (1999)
Attack of the Clones (2002)
Clone Wars (2003-2005)
Revenge of the Sith (2005)
The Clone Wars (2008-2020)
LEGO Star Wars stuff* (2013-??)
Rebels (2014-2018)
The Force Awakens (2015)
Rogue One (2016)
Forces of Destiny (2017-2018)
The Last Jedi (2017)
Solo (2018)
Resistance (2018-2019)
Galaxy of Adventures (2019-2020)
The Rise of Skywalker (2019)
The Mandalorian (2019-2023)
The Book of Boba Fett (2021-2022)
The Bad Batch (2021-2024)
Visions (2021-2025)
Obi-Wan Kenobi (2022)
Andor (2022-2025)
Ahsoka (2023-2026)
Young Jedi Adventures (2023-2025)
Tales of the Empire (2024)
The Acolyte (2024)
Skeleton Crew (2024-2025)
Tales of the Underground (2025)

My brother probably saw more of Star Wars stuff than I have honestly. 

Bold = Watched Entirety
Italic = Watched Part
* Watched more than once.
† Watched in the first few weeks of release (at least initially, for TV shows).

Star Trek Franchise

RELEASE ORDER

Star Trek - Original Series (1966-1969) - 80 episodes
Star Trek - the Animated Series (1973-1975) - 22 episodes
Star Trek - the Motion Picture (1979)
Star Trek II - The Wrath of Khan (1982)
Star Trek III - The Search for Spock (1984)
Star Trek IV - The Voyage Home (1986)
Star Trek The Next Generation - 1987-1994 (176 episodes)
Star Trek V : The Final Frontier (1989)
Star Trek VI : The Undiscovered Country (1991)
Star Trek: Deep Space Nine 1993-1999 (173 episodes)
Star Trek: Generations (1994)
*† Star Trek: Voyager (1995-2001) 168 episodes
Star Trek: First Contact (1996)
Star Trek: Insurrection (1998)
Star Trek: Enterprise (2001-2005) 98 episodes
Star Trek: Nemesis (2002)
*† Star Trek (2009)
*† Star Trek: Into Darkness (2013)
*† Star Trek: Beyond (2016)
Star Trek: Discovery (2017-2024) 65 episodes
Star Trek: Short Treks (2018-2020) 10 episodes
Star Trek: Picard (2020-2023) 30 episodes
Star Trek: Lower Decks (2020-2024) - 50 episodes
Star Trek: Prodigy (2021-2024) - 40 episodes
* Star Trek: Strange New Worlds (2022-) 40 episodes
Star Trek: Very Short Treks (2023) - 6 episode

I may or may not have watched all of TNG, DSN, and Enterprise, I'm not quite sure. My dad was the one that had anything Star Trek on while I was growing up in the 90s, so the only Captains I connect with is Janeway and Picard so I know I watched a decent amount of TNG. The other captains? Not so much - I know I've seen at least some/most of their episodes but I haven't revisited them to see what I do/do not remember. I was late getting into Picard, Discovery, Prodigy, Lower Decks, and Strange New Worlds but I ended up really enjoying them especially Strange New Worlds.