From Bulbapedia, the community-driven Pokémon encyclopedia.

Deep King is a trainer class that first debuted in Generation III, appearing in Pokémon Colosseum. The class is exclusive to a single trainer, Agnol.

Generation III-introduced trainer classes
Ruby, Sapphire and Emerald
Aqua Admin | Aqua Leader | Arena Tycoon | Aroma Lady | Battle Girl | Bug Maniac | Collector | Dome Ace | Dragon Tamer Expert | Factory Head | Hex Maniac | Interviewer | Kindler | Lady | Magma Admin | Magma Leader | Ninja Boy | Old Couple | Palace Maven | Parasol Lady | Pike Queen | Pokémon Ranger | Pokémon Breeder Female Psychic | Pyramid King | Rich Boy | Ruin Maniac | Salon Maiden | Female School Kid | Sis and Bro | Team Aqua Grunt | Team Magma Grunt | Triathlete | Tuber | Winstrate | Young Couple
FireRed and LeafGreen
Cool Couple | Crush Girl | Crush Kin | Painter | Team Rocket Grunt
Colosseum and XD
Area Leader | Athlete | Bandana Guy | Bodybuilder | Casual Dude | Casual Guy | Chaser | Cipher | Cipher Admin | Cipher Cmdr Cipher Head | Cipher Peon | Cipher R&D | Curmudgeon | Deep King | Fun Old Lady | Fun Old Man | Glasses Man | Grand Master | Guy Hunter | Kaminko Aide | Lady in Suit | Matron | Miror B.Peon | Mt.BtlMaster | Myth Trainer | Navigator | Newscaster | Pregymleader Rider | Robo Groudon | Rogue | Roller Boy | Shady Guy | Sim Trainer | Spy | St.Performer | Supertrainer | Team Snagem Snagem Head | Thug | VR Trainer | Wanderer | Worker