I've included couples that fight a lot because learning how to fight is a big part of making it work, I think. Also, suggest any omissions as these are just some I thought of off the top of my head.
  1. Tony & Carmela Soprano
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    On "The Sopranos"
  2. Jesse & Celine
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    In "Before Midnight"
  3. Marge & Homer Simpson
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    On "The Simpsons"
  4. Nick & Nora Charles
    9b3dd4a0 6c92 44c7 a240 f36399557119
    In the "Thin Man" Series
  5. H.I. McDunnough & Edwina "Ed" McDunnough
    80eaeea5 a940 4532 a5ae 21f25a6976c1
    In "Raising Arizona"
  6. Eric & Tami Taylor
    251d0c5d 23f0 44cf b4bb 5cf0b5377fea
    On "Friday Night Lights"
  7. Mel & Nancy Coplin
    Af4fe483 4c82 4eed b84e 8ee7359475a2
    In "Flirting with Disaster"
  8. Josh & Cornelia Srebnik
    9fc7b9c3 2075 4676 aa63 b08944be2ea8
    In "While We're Young"
  9. Pete & Debbie
    7e5525a2 175c 4adc bc75 9e6814ce9374
    In "Knocked Up" and "This is 40"
  10. Emma Greenway Horton & Flap Horton
    3f5ed5e2 84fe 4e7e 95a2 84401511dbd2
    In "Terms of Endearment"
  11. David & Linda Howard
    24fd0c7f 3d47 4cf6 aa37 5a003bcccb57
    In "Lost In America"
  12. Larry & Carol Lipton
    6f7d443f abe5 44eb 8135 ac1dfb2e39f9
    In "Manhattan Murder Mystery"
  13. Tom & Gerri
    9f771030 5a40 4d63 81b7 6c4c6e64f84e
    In "Another Year"
  14. Tom & Gerry Jeffers
    C0afa8a6 d0af 4e99 b5c4 3c5c2c42490c
    In "The Palm Beach Story"
  15. Jerry Maguire & Dorothy Boyd
    0edee600 c572 482f 8282 041f2df97aa4
    In "Jerry Maguire"
  16. Nick & Amy Dunne
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    In "Gone Girl"... JKJKJKJKJK
  17. Ben & George from Love is Strange
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    Suggested by @maya
  18. Zeke and Camille Braverman
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    From Parenthood, the TV show
    Suggested by @sogol
  19. Mary and Richard Schlichting
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    Flirting With Disaster
    Suggested by @tothemaxxx