Since one of the effects of Setzer's slot ability is to summon a random esper, a list of the espers that it can summon can be found here:
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Ramuh: 'Judgment Bolt'. Deals lighting element damage to all enemies.
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Kirin: 'Holy Aura'. Casts Regen on all allies.
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Siren: 'Lunatic Voice'. Casts Silence on all enemies, doesn't always hit.
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Cait Sith: 'Cat Rain'. Casts Confuse on all enemies, doesn't always hit.
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Ifrit: 'Hellfire'. Deals fire damage to all enemies.
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Shiva: 'Diamond Dust'. Inflicts ice damage on all enemies.
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Unicorn: 'Healing Horn'. Cures most status effects.
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Maduin: 'Chaos Wave'. Deals non-elemental damage to all enemies.
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Catoblepas: 'Demon Eye'. Attempts to petrify all enemies, usually misses.
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Phantom: 'Ghostly Veil'. Casts Vanish on all party members, temporarily making them invisible.
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Carbuncle: 'Ruby Light'. Casts Reflect on all allies.
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Bismarck: 'Breach Blast'. Inflicts Water damage on all enemies.
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Golem: 'Earthen Wall'. Blocks a limited amount of physical damage.
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Zone Seek: 'Magic Shield'. Casts Shell on the party.
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Seraph: 'Angel Feathers'. Heals all allies. The amount healed is based on the summoner's magic stat.
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Quetzalli: 'Sonic Dive'. Makes the characters use the
'Jump' ability.
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Fenrir: 'Howling Moon'. Creates illusionary copies of all allies, allowing them to avoid the next physical attack. (magical attacks still hit)
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Valigarmanda: 'Tri-Disaster'. Inflicts Fire, Ice and Lightning damage on all enemies.
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Midgardsormr: 'Abyssal Maw." Inflicts Ground damage on all enemies. Has no effect if enemy is floating/flying.
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Lakshmi: 'Alluring Embrace'. Heals all allies. Cures more than Seraph will, although the amount is still relative to the summoner's magic stat.
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Alexander: 'Divine Judgment'. Inflicts Holy damage on all enemies.
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Phoenix: 'Flames of Rebirth'. Revives all Ko'd allies. Will probably be relatively useless in Paixao.
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Bahamut: 'Mega Flare'. Inflicts non-elemental damage on all allies.
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Ragnarok: 'Metamorphose'. Attempts to turn a single enemy into an item. Rarely works, even in canon, and will probably next-to-never work in Paixao.
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Crusader: 'Cleansing'. Inflicts large amount of non-elemental damage to everyone in the battle.