The article goes in reverse order from the T14 trio to #1. In order from most to least for what I am listing. Article should have given total nominations for every show, not just some. :rolleyes:

1. Saturday Night Live- 93 wins (338 nominations)
2. Game of Thrones- 59 wins
T3. Frasier original NBC run- 37 wins
T3. The Simpsons- 37 wins (With its neverending status is bound to pass the far superior og Frasier at some point. :()
5. Last Week Tonight with John Oliver- 32 wins
T6. The Mary Tyler Moore Show- 29 wins (67 nominations)
T6. RuPaul's Drag Race- 29 wins (Same comment as The Simpsons in comparison to The Mary Tyler Moore Show :()
8. Cheers- 28 wins (117 nominations)
T9. Hill Street Blues- 26 wins
T9. The West Wing- 26 wins (95 nominations)
11. The Carol Burnett Show- 25 wins (75 nominations)
12. The Crown- 24 wins (87 nominations)
13. ER- 23 wins (124 nominations)
T14. The Marvelous Mrs. Maisel- 22 wins
T14. Modern Family- 22 wins (85 nominations)
T14. All in the Family- 22 wins

https://www.tvline.com/2165745/tv-shows-most-emmy-wins/

Shows with the most "major award" wins - Show, Director, Writing, Actor, Actress - in the comedy categories:

All in the Family 16
Frasier 16
The Dick van Dyke Show 15
Cheers 12
The Mary Tyler Moore Show 12
Modern Family 11
Taxi 11
Murphy Brown 10
Veep 10
30 Rock 9
Hacks 8
MASH 8
The Phil Silvers Show 8
Get Smart 7
The Golden Girls 7
The Jack Benny Program 7
The Bear 6
Everybody Loves Raymond 6
Father Knows Best 6

The number of awards per year has grown over time, so this gives a constant set of awards for comparison.