Oritsuru » Final Fantasy X » Bribe List
First off you will have to learn bribe on the sphere Grid. Rikku will probablly be the first chacter who will be able to learn this.
Then in a battle you will have to select that option on input the amount of Gil that you would like to try and bribe the monster with. If it is the right amount you can get some really useful items. Below is a list to help you out.
Monster Gil Required Item Recieved
Achelous 120,000 Healing Spring(x16)
Adamantoise 1,088,000 Special Sphere(x6)
Aerouge 4000 Lightning Marble(x4)
Ahriman 56,000 Farplane Wind(x6)
Alcyone 8600 Mega Phoenix(x2)
Anacondaur 116,000 Healing Water(x16
Aqual Flan 40,500 Water Gem(x15)
Bandersnatch 36,000 Dream Powder(x20)
Barbatos 1,900,000 Teleport Sphere(x20)
Bashura 340,000 Stamina Tablet(x80)
Basilisk 40,500 Petrify Grenade(x24)
Bat Eye 7600 Silence Grenade(x12)
Behemoth 460,000 Lv. 2 Key Sphere(x30
Behemoth King 1,350,000 Three Stars(x14)
Bite Bug 4000 Poison Fang(x2)
Black Element 182,000 Blk. Magic Sphere(x2)
Blue Element 30,000 Water Gem(x9)
Bomb 17,000 Bomb Core(x16)
Buer 4600 Musk(x2)
Bunyip 8000 Hypello Potion
Cave Iguion 11,000 Petrify Grenade(x6)
Chimera 105,000 Mana Tablet(x10)
Chimera Brain 196,000 Lv. 4 Key Sphere(x2)
Coeurl 120,000 Friend Sphere(x2)
Condor 1900 smoke Bomb(x3)
Dark Element 36,000 Return Sphere(x2)
Dark Flan 256,000 Wht Magic Sphere(x2)
Defender 240,000 stamina Tablet(x20)
Defender Z 846,000 Designer Wallet(x5)
Demonolith 900,000 Lv. 3 Key Sphere(x40)
Dingo 2500 Sleeping Powder(x4)
Dinonix 2000 Petrify Grenade(x2)
Dual Horn 37,000 Hi-Potion(x60)
Epaaj 174,000 Farplane Wind(x25)
evil Eye 6200 Musk(x3)
Exoray 148,000 Turbo Ether
Flame Flan 30,000 Fire gem(x10)
Floating Eye 134,000 Gambler's Spirit(x10)
Funguar 10,800 Turbo Ether(x2)
Gandarva 2960 Lightning Marble(x3)
Garm 4800 Sleeping Powder(x7)
Gemini 720,000 Stamina Tablet(x10)
Ghost 199,980 Mega Phoenix(x38)
Gold Element 24,000 Lightning Marble(x20)
Grat 80,000 Remedy(x40)
Great Malboro 1,2280,000 Wings to Discovery(x8)
Grenade 150,000 Shining Gem(x12)
Grendel 190,000 Mega-Potion(x60)
Guado Guardian 40,000 Ether(x10)
Halma 260,000 Supreme Gem(x20)
Ice Flan 27,000 Ice Gem(x9)
Iguion 7400 Petrify Grenade(x5)
Imp 4567 Lv. 1 Key Sphere(x4)
Ipiria 3600 Petrify Grenade(x3)
Iron Giant 72,000 Stamina Tonic
Killer Bee 2200 Poison Fang
Kusariqqu 8900 silver Hourglass(x20)
Lamashtu 5500 silver Hourglass(x10)
Land Worm 1m600,000 Dark Matter(x2)
Larva 29,960 Shining Thorn(x10)
Machea 360,000 Chocobo Wing(x60)
Maelspike 200,000 Attribute Sphere
Mafdet 14,200 Hypello Potion(x28)
Malboro 540,000 Wings to Discovery(x4)
Mandragora 620,000 return Sphere(x24)
Master Coeurl 260,000 Warp Sphere
Master Tonberry 960,000 Pendulum(x3)
Maze Larva 44,400 water Gem(x14)
Mech Defender 174,000 Al Bhed Potion(x99)
Mech Guard 25,600 Grenade(x50)
Mech Gunner 45435 Al Bhed Potion(x40)
Mech Hunter 110,000 Al Bhed Potion(x60)
Mech Leader 74,000 Door to Tomorrow(x2)
Mech Scouter 55,000 Door to Tomorrow
Melusine 5300 Petrify Grenade(x4)
Mi'ihen Fang 3200 Sleeping Powder(x5)
Murussu 11,600 Hypello Potion(x24)
Mushussu 13,600 Soft
Nebiros 14,000 Poison Fang(x6)
Nidhogg 40,000 Gold Hourglass(x12)
Ochu 144,000 Remedy(x70)
Octopus 90,000 Stamina Spring(x20)
Orge 188,000 Stamina Spring(x50)
Phylegyas 33,600 Healing Spring(x6)
Piranha 1000 Water Gem
Puroboros 400,000 Shining Gem(x36)
Ragora 15,600 Remedy(x8)
Raldo 4800 Hypello Potion(x10)
Raptor 4000 Petrify Grenade(x3)
Red Element 9000 Bomb Core(x8)
Remora 60,000 water Gem(x20)
Sahagin 7600 water Gem
Sandragora 255,000 Remedy(x99)
Sand Wolf 9000 sleeping Powder(x12)
Sand Worm 900,000 Winning Formula(x15)
Shred 39,000 Hypello Potion(x50)
Simurgh 4000 Smoke Bomb(x5)
Skoll 20,000 Dream Poweder(x12)
Snow Flan 12m000 Artic Wind(x10)
Snow Wolf 8000 Sleeping Powder(x11)
Spirit 200,000 Twin Stars(x10)
Splasher 1200 Dragon Scale(x12)
Swamp Mafdet 17,000 Turbo Ether(x16)
Thunder Flan 9000 Lightning Marble(x8)
Tonberry 4545 Amulet(x2)
Ultima Weapon 140,000 Pendulum(x99)
Valahna 174,000 X-Potion(x60)
Varuna 1,120,000 Megalixir(x20)
Vouivre 5100 Silver Hourglass(x10)
Water Flan 6300 water Gem(x2)
White Element 7800 Artic Wind(x7)
Wraith 444,440 Farplane Wind(x60)
Xiphos 54,000 Megalixir
Yat-97 74,000 Ether(x16)
Yat-99 54,000 Ether(x10)
Yellow Element 6000 Lightning Marble(x6)
YKT-11 124,000 Elizir(x12)
YKT-63 8400 Elixir(x8)
Yowie 18,000 Petrify Grenade(x12)
Zanurus 164,000 Rename Card(x10)
Zu 360,000 Skill Sphere(x2)