Final Fantasy IV/Call magic

Call magic user:
 * Rydia (Summoner)

Spell types:
 * Support: battle spells that target the allies;
 * Debuff: battle spells that target the enemies but deal no damage;
 * Attack: battle spells that damage the enemies.

Spell list
In order to learn some summons you need to get the items from those monster by the same name. For example, to get the Bomb summon, you need to fight Bombs until they drop a "Bomb Item" which lets you learn Bomb Summon.

From Final Fantasy 3 to Final Fantasy 4
Summons were introduced in the previous title of the series, Final Fantasy 3. There were eight of them: five could be purhcased as soon as the Evoker/Summoner job is unlocked, the last three could be obtained by defeating the summon. The same scheme is repeated here in Final Fantasy 4.

Eight Summons from Final Fantasy 3:
 * Chocobo (start)
 * Shiva (start)
 * Ramuh (start)
 * Ifrit (start)
 * Titan (start)
 * Odin (fight)
 * Leviathan (fight)
 * Bahamut (fight)

Three new summons were introduced in the original version of Final Fantasy 4:
 * Mist Dragon (start)
 * Sylph (event)
 * Asura (fight)

Further four summons were introduced in the GBA and subsequent remakes of Final Fantasy 4:
 * Goblin
 * Bomb
 * Cockatrice
 * Mindflayer