Here is a list of all Status ailments you need to see and which party member can learn them
You do not need to have all ailments active at a single time. Just pick a character to be the Guinea pig and go.
Vivi - Poison,Sleep,Slow,Stop,Break (Lightning staff/Flame staff/Ice staff/Magus hat/Oak staff/Cypress pole)
Eiko/Dagger - Protect,Shell,Reflect,Float,Mini,Silence,Blind,Confuse (Variety of Rackets,Flutes and Accessories)
Eiko only - Regen,Haste (Fairy Earrings/Emerald)
Dagger only - Berserk (Magic Racket bought in Lindblum during late/end game)
Quina - Auto life, Vanish (Eat Carrion Worm in Cleyra Trunk or a Cerberus in Ispens Castle and Eat a Hornet in Gizamalukes Grottos or a Gnoll/Troll in Conde Petite Sanctuary path)
Zidane - Trouble (Gladius can be bought in Treno late/end game or steal one from Lani Boss encounter)
Monsters - Gradual Petrify (Basilisk in Burmecia),
Virus, (Meltigemini boss, Chimera in Memoria)
Zombie (Zombie Whale found on beaches after obtaining the Blue Narciss, Worm Hydra in Mt Gulug or in forests after obtaining the Invincible)
Venom (Grand Dragons or Chimera in Memoria)
Doom (Ash in Memoria)
Heat (Marilith Boss, Wraith in Mt Gulug)
Freeze (Chimera in Memoria, Wraith in Mt Gulug)
There are other monsters in game that will inflict status ailments but i did this as a example for those in endgame. Realistically you should get this after you encounter an Ash for Doom.