30 Rock
Season 4: The Moms (IMDb; Wikipedia)
Black-ish
Season 1: Please Don't Ask, Please Don't Tell (IMDb; Wikia)
Bluey
Season 2: The Show (IMDb; TV Tropes; Wikia)
Bob's Burgers
Season 7: Mom, Lies and Videotape (IMDb; TV Tropes; Wikia)
Season 8: Mo Mommy, Mo Problems (IMDb; TV Tropes; Wikia)
Season 12: Sauce Side Story (IMDb; TV Tropes; Wikia)
Season 13: Amelia (IMDb; TV Tropes; Wikia)
The Cleveland Show
Season 3: Mama Drama (IMDb; OHS Wiki; Wikia)
Dexter's Laboratory
Season 2: Pslyghtly Psycho (IMDb; OHS Wiki; Wikia)
Everybody Hates Chris
Season 3: Everybody Hates Mother's Day (IMDb; OHS Wiki; Wikia)
Everybody Loves Raymond
Season 6: Mother's Day (IMDb; OHS Wiki; Wikia)
The Fresh Prince of Bel-Air
Season 4: Mother's Day (IMDb; Wikia)
Futurama
Season 2: Mother's Day (IMDb; TV Tropes; Wikia; Wikipedia)
The Golden Girls
Season 3: Mother's Day (IMDb; OHS Wiki; TV Tropes; Wikia)
Johnny Bravo
Season 1: The Perfect Gift (IMDb; OHS Wiki; Wikia)
Kim Possible
Season 2: Mother's Day (IMDb; OHS Wiki; TV Tropes; Wikia)
The Middle
This series had several Mother's Day episodes, but I don't know if I saw any of them, because I only watched it sporadically.
Modern Family
Season 2: Mother's Day (IMDb; OHS Wiki; Wikia; Wikipedia)
Muppet Moments
Season 1: Moms (YouTube)
The Nanny
Season 1: I Don't Remember Mama (IMDb; OHS Wiki; Wikia)
The Simpsons
Season 21: Moe Letter Blues (IMDb; TV Tropes; Wikia; Wikipedia)