To date, May, Serena, Lana, Lillie, Mallow & *Koharu are the only PokeGirls in the 'Ash & Pikachu' Pokémon anime era that never had their own Pokémon disobey them for any reason.

May: Blaziken, Beautifly, Skitty, Venusaur, Munchlax, Wartortle & Glaceon
Serena: Delphox, Pancham & Sylveon
Lana: Primarina & Eevee (nicknamed Sandy)
Lillie: Alolan Vulpix (nicknamed Snowy)
Mallow: Tsareena
*Koharu: Eevee

*Technically a supporting character, but in MPM's intro, she was included with Ash & Goh.