FOX Broadcasting Company (see also Fox Kids, 4KidsTV, Animation Domination, ADHD, Sunday Funday, and 20th Century Fox)
(launched in 1986)
facebook; IMDb; official website; TV Tropes; Wikipedia

1980s-90s
The Simpsons (12/17/1989 - present)
Batman: The Animated Series (9/5/1992 - 9/15/1995)
Danger Theatre (7/7/1993 - 8/22/1993)
The Adventures of Brisco County, Jr. (8/27/1993 - 5/20/1994)
The X-Files (9/10/1993 - 5/19/2002)
The Tick (9/10/1994 - 11/24/1996)
Party of Five (9/12/1994 - 5/3/2000)
The Critic (3/5/1995 - 5/21/1995, s2; s1 aired on ABC)
Sliders (3/22/1995 - 5/16/1997; moved to Sci-Fi Channel, s4-s5)
Ned & Stacey (9/11/1995 - 1/27/1997; 11 more episodes never aired, but are on DVD)
Partners (9/11/1995 - 4/1/1996)
Strange Luck (9/15/1995 - 2/23/1996)
Space: Above and Beyond (9/24/1995 - 6/2/1996)
Too Something (10/1/1995 - 6/23/1996)
Mad TV (10/14/1995 - 5/16/2009; reunion special & s15 aired on The CW)
Kindred: The Embraced (4/2/1996 - 5/9/1996)
Profit (4/8/1996 - 4/29/1996; 4 more episodes aired on Trio)
Doctor Who (5/14/1996; TV movie)
Fox After Breakfast (8/12/1996 - 9/22/1997; renamed "The Vicki Lawrence Show" on 8/19/1997)
Lush Life (9/9/1996 - 9/30/1996; 3 more episodes never aired)
Millennium (10/25/1996 - 5/21/1999)
King of the Hill (1/12/1997 - 9/13/2009; 4 more episodes aired in syndication)
Roar (7/14/1997 - 9/1/1997; 5 more episodes aired in 2000)
Ally McBeal (9/8/1997 - 5/20/2002)
The Visitor (9/19/1997 - 1/16/1998)
That '70s Show (8/23/1998 - 5/18/2006)
Brimstone (10/23/1998 - 2/12/1999)
Futurama (5/28/1999 - 8/10/2003; moved to Comedy Central, s5-7)
Family Guy (1/31/1999 - present)
Olive, the Other Reindeer (12/17/1999; special)

2000s
Malcolm in the Middle (1/9/2000 - 5/14/2006)
Titus (3/20/2000 - 8/12/2002)
Dark Angel (10/3/2000 - 5/3/2002)
FreakyLinks (10/6/2000 - 6/22/2001)
The Lone Gunmen (3/4/2001 - 6/1/2001)
Night Visions (7/12/2001 - 9/6/2001; 3 more episodes aired on Sci Fi in 2002)
Pasadena (9/28/2001 - 11/2/2001; 9 more episodes aired on SoapNet in 2005)
The Tick (11/8/2001 - 1/31/2002)
Andy Richter Controls the Universe (3/19/2002 - 1/12/2003)
Greg the Bunny (3/27/2002 - 8/8/2002; 2 more episodes aired on IFC in 2004)
Firefly (9/20/2002 - 12/20/2002)
John Doe (9/20/2002 - 4/25/2003)
Keen Eddie (6/3/2003 - 7/24/2003; 6 more episodes aired on Bravo in 2004)
The O.C. (8/5/2003 - 2/22/2007)
Tru Calling (10/30/2003 - 4/21/2005; 1 more episode aired on Sci Fi in 2008)
Arrested Development (11/2/2003 - 2/10/2006, s1-3; moved to Netflix, s4-5)
Wonderfalls (3/12/2004 - 12/15/2004)
Quintuplets (6/16/2004 - 1/12/2005)
House (11/16/2004 - 5/21/2012)
Life on a Stick (3/24/2005 - 4/27/2005; 8 more episodes never aired)
American Dad! (2/6/2005 - 9/21/2014; moved to TBS s12 onward)
Prison Break (8/29/2005 - 5/27/2009; a fifth season aired in 2017, but I only saw s1)
Drive (4/15/2007 - 4/23/2007; 2 more episodes streamed online)
Terminator: The Sarah Connor Chronicles (1/13/2008 - 4/10/2009)
Dollhouse (2/13/2009 - 1/29/2010; 2 more episodes were released on the s1 DVD)
Glee (5/19/2009 - 3/20/2015)
The Cleveland Show (9/27/2009 - 5/19/2013)

2010s
Human Target (1/15/2010 - 2/9/2011)
Sons of Tucson (3/11/2010 - 8/1/2010)
The Good Guys (5/19/2010 - 10/10/2010)
Running Wilde (9/21/2010 - 12/26/2010; 4 more episodes aired on FX in 2011)
Bob's Burgers (1/9/2011 - present)
Breaking In (4/6/2011 - 4/3/2012)
New Girl (9/20/2011 - 5/15/2018)
Terra Nova (9/26/2011 - 12/19/2011)
Ice Age: A Mammoth Christmas (11/24/2011; special)
Ben and Kate (9/25/2012 - 1/22/2013; 3 more episodes never aired in the US)
Axe Cop (7/21/2013 - 11/30/2013; s2 aired on FXX)
High School USA! (7/21/2013 - 11/30/2013)
Sleepy Hollow (9/16/2013 - 3/31/2017)
Brooklyn Nine-Nine (9/17/2013 - 5/20/2018; moved to NBC, s6 onward)
Almost Human (11/13/2013 - 3/3/2014)
Lucas Bros. Moving Co. (11/23/2013 - 3/1/2014; s2 aired on FXX)
Golan the Insatiable (11/23/2013 - 7/19/2015)
Cosmos: A Spacetime Odyssey (3/9/2014 - 6/8/2014; also aired on National Geographic Channel)
Gotham (9/22/2014 - 4/25/2019)
Empire (1/7/2015 - 4/21/2020; I only watched one season)
Weird Loners (3/31/2015 - 5/5/2015)
Wayward Pines (5/14/2015 - 7/27/2016)
Scream Queens (9/22/2015 - 12/20/2016)
The X-Files (1/24/2016 - 3/21/2018)
Lucifer (1/25/2016 - 5/28/2018; moved to Netflix, s4 onward)
Ice Age: The Great Egg-scapade (3/20/2016; special)
Houdini & Doyle (5/2/2016 - 7/4/2016; originally on ITV)
Son of Zorn (9/11/2016 - 2/19/2017)
Pitch (9/22/2016 - 12/8/2016)
The Exorcist (9/23/2016 - 12/15/2017; I only watched s1)
The Rocky Horror Picture Show (10/20/2016; TV movie)
Taraji's White Hot Holidays (12/8/2016; special)
Making History (3/5/2017 - 5/21/2017)
Shots Fired (3/22/2017 - 5/24/2017; limited series)
The Orville (9/10/2017 - 4/25/2019; s3 will air on Hulu)
Ghosted (10/1/2017 - 7/22/2018)
The Gifted (10/2/2017 - 2/26/2019)
Taraji's White Hot Holidays (12/14/2017; special)
Proven Innocent (2/15/2019 - 5/10/2019)
Prodigal Son (9/23/2019 - 5/18/2021; I only watched part of s1)
Bless the Harts (9/29/2019 - 6/20/2021)

2020s
coming soon probably