Usually you can release five copies of the same Pokemon at the Release Kiosk to get a ticket for a Pokemon from the evolution line of the released Pokemon. Release one of the following combinations of Pokemon to get a special ticket for the corresponding Pokemon:

Articuno: Fearow, Jynx, Lapras, and Pidgeot
Burmy Sand/Trash Cloak: Five Mothims
Cut Rotom: Leafeon and Rotom
Darkrai: Cut Rotom, Frost Rotom, Heat Rotom, Spin Rotom, and Wash Rotom
Dialga: Bastiodon, Dragonite, Garchomp, Lucario, and Magnezone
Frost Rotom: Glaceon and Rotom
Gastrodon West Sea: Five Shellos East Seas
Giratina: Dragonite, Dusknoir, Garchomp, Gengar, and Spiritomb
Heat Rotom: Flareon and Rotom
Manaphy: Three Phiones
Mewtwo: Dialga, Giratina, and Palkia
Moltres: Charizard, Fearow, Magmar, and Pidgeot
Palkia: Blastoise, Dragonite, Empoleon, Garchomp, and Gyarados
Phione: Lapras and Vaporeon
Shaymin: Arbok, Arcanine, Bastiodon, Charizard, and Kangaskhan
Shellos West Sea: Five Gastrodon East Seas
Spin Rotom: Jolteon and Rotom
Wash Rotom: Rotom and Vaporeon
Wormadam Sand/Trash Cloak: Five Burmy Grass Cloaks
Zapdos: Electabuzz, Fearow, Pidgeot, and Raichu