Structure per type:
Catching Pokémon
Catch 10 → "Apprentice [Type] Collector"
Catch 50 → "Expert [Type] Collector"
Catch 100 → "Master [Type] Collector"
Defeating Pokémon
Defeat 100 → "Apprentice [Type] Slayer"
Defeat 500 → "Expert [Type] Slayer"
Defeat 1000 → "Master [Type] Slayer"
Full Advancement Names by Type
Normal
Catching: Apprentice Normal Collector, Expert Normal Collector, Master Normal Collector
Defeating: Apprentice Normal Slayer, Expert Normal Slayer, Master Normal Slayer
Fire
Catching: Apprentice Fire Collector, Expert Fire Collector, Master Fire Collector
Defeating: Apprentice Fire Slayer, Expert Fire Slayer, Master Fire Slayer
Water
Catching: Apprentice Water Collector, Expert Water Collector, Master Water Collector
Defeating: Apprentice Water Slayer, Expert Water Slayer, Master Water Slayer
Grass
Catching: Apprentice Grass Collector, Expert Grass Collector, Master Grass Collector
Defeating: Apprentice Grass Slayer, Expert Grass Slayer, Master Grass Slayer
Electric
Catching: Apprentice Electric Collector, Expert Electric Collector, Master Electric Collector
Defeating: Apprentice Electric Slayer, Expert Electric Slayer, Master Electric Slayer
Ice
Catching: Apprentice Ice Collector, Expert Ice Collector, Master Ice Collector
Defeating: Apprentice Ice Slayer, Expert Ice Slayer, Master Ice Slayer
Fighting
Catching: Apprentice Fighting Collector, Expert Fighting Collector, Master Fighting Collector
Defeating: Apprentice Fighting Slayer, Expert Fighting Slayer, Master Fighting Slayer
Poison
Catching: Apprentice Poison Collector, Expert Poison Collector, Master Poison Collector
Defeating: Apprentice Poison Slayer, Expert Poison Slayer, Master Poison Slayer
Ground
Catching: Apprentice Ground Collector, Expert Ground Collector, Master Ground Collector
Defeating: Apprentice Ground Slayer, Expert Ground Slayer, Master Ground Slayer
Flying
Catching: Apprentice Flying Collector, Expert Flying Collector, Master Flying Collector
Defeating: Apprentice Flying Slayer, Expert Flying Slayer, Master Flying Slayer
Psychic
Catching: Apprentice Psychic Collector, Expert Psychic Collector, Master Psychic Collector
Defeating: Apprentice Psychic Slayer, Expert Psychic Slayer, Master Psychic Slayer
Bug
Catching: Apprentice Bug Collector, Expert Bug Collector, Master Bug Collector
Defeating: Apprentice Bug Slayer, Expert Bug Slayer, Master Bug Slayer
Rock
Catching: Apprentice Rock Collector, Expert Rock Collector, Master Rock Collector
Defeating: Apprentice Rock Slayer, Expert Rock Slayer, Master Rock Slayer
Ghost
Catching: Apprentice Ghost Collector, Expert Ghost Collector, Master Ghost Collector
Defeating: Apprentice Ghost Slayer, Expert Ghost Slayer, Master Ghost Slayer
Dragon
Catching: Apprentice Dragon Collector, Expert Dragon Collector, Master Dragon Collector
Defeating: Apprentice Dragon Slayer, Expert Dragon Slayer, Master Dragon Slayer
Dark
Catching: Apprentice Dark Collector, Expert Dark Collector, Master Dark Collector
Defeating: Apprentice Dark Slayer, Expert Dark Slayer, Master Dark Slayer
Steel
Catching: Apprentice Steel Collector, Expert Steel Collector, Master Steel Collector
Defeating: Apprentice Steel Slayer, Expert Steel Slayer, Master Steel Slayer
Fairy
Catching: Apprentice Fairy Collector, Expert Fairy Collector, Master Fairy Collector
Defeating: Apprentice Fairy Slayer, Expert Fairy Slayer, Master Fairy Slayer