I'm going to answer this because the other answer is incomplete. My sources are in the title of the section -- the Game Corner names.
Gen I (RBGY)
TM15 Hyper Beam - 5500 C
TM23 Dragon Rage - 3300 C
TM50 Substitute - 7700 C
Lv. 9 Abra - 180 C (Red only)
Lv. 8 Clefairy - 550 C (Red only)
Lv. 17 Nidorina - 1200 C (Red only)
Lv. 18 Dratini - 2800 C (Red only)
Lv. 25 Scyther - 5500 C (Red only)
Lv. 26 Porygon - 9999 C (Red only)
Lv. 6 Abra - 120 C (Blue / Green only)
Lv. 12 Clefairy - 750 C (Blue / Green only)
Lv. 17 Nidorino - 1200 C (Blue / Green only)
Lv. 20 Pinsir - 2500 C (Blue / Green only)
Lv. 24 Dratini - 4600 C (Blue / Green only)
Lv. 18 Porygon - 6500 C (Blue / Green only)
Lv. 8 Abra - 150 C (Blue only)
Lv. 12 Pikachu - 620 C (Blue only)
Lv. 18 Horsea - 1000 C (Blue only)
Lv. 24 Clefable - 2880 C (Blue only)
Lv. 30 Dragonair - 4600 C (Blue only)
Lv. 18 Porygon - 8300 C (Blue only)
Lv. 15 Abra - 230 C (Yellow only)
Lv. 18 Vulpix - 1000 C (Yellow only)
Lv. 22 Wigglytuff - 2680 C (Yellow only)
Lv. 30 Scyther - 6500 C (Yellow only)
Lv. 30 Pinsir - 6500 C (Yellow only)
Lv. 26 Porygon - 9999 C (Yellow only)
Gen II (GSC)
TM15 Hyper Beam - 7500 C
TM29 Psychic - 3500 C
TM32 Double Team - 1500 C
Lv. 15 Mr. Mime - 3333 C (Gold / Silver only)
Lv. 15 Eevee - 6666 C (Gold / Silver only)
Lv. 20 Porygon - 9999 C (Gold / Silver only)
Lv. 25 Pikachu - 2222 C (Crystal only)
Lv. 15 Porygon - 5555 C (Crystal only)
Lv. 40 Larvitar - 8888 C (Crystal only)
Gen III (FR/LG)
TM13 Ice Beam - 4000 C
TM23 Iron Tail - 3500 C
TM24 Thunderbolt - 4000 C
TM30 Shadow Ball - 4500 C
TM35 Flamethrower - 4000 C
Smoke Ball - 800 C
Miracle Seed - 1000 C
Charcoal - 1000 C
Mystic Water - 1000 C
Yellow Flute - 1600 C
Lv. 9 Abra - 180 C (FireRed only)
Lv. 8 Clefairy - 500 C (FireRed only)
Lv. 18 Dratini - 2800 C (FireRed only)
Lv. 25 Scyther - 5500 C (FireRed only)
Lv. 26 Porygon - 9999 C (FireRed only)
Lv. 7 Abra - 120 C (LeafGreen only)
Lv. 12 Clefairy - 750 C (LeafGreen only)
Lv. 18 Pinsir - 2500 C (LeafGreen only)
Lv. 24 Dratini - 4600 C (LeafGreen only)
Lv. 18 Porygon - 6500 C (LeafGreen only)
Gen IV (HG/SS)
TM10 Hidden Power - 6000 C
TM29 Psychic - 10000 C
TM32 Double Team - 4000 C
TM58 Endure - 2000 C
TM68 Giga Impact - 15000 C
TM74 Gyro Ball - 10000 C
Silk Scarf - 1000 C
Wide Lens - 1000 C
Zoom Lens - 1000 C
Metronome - 1000 C
Lv. 15 Mr. Mime - 3333 C
Lv. 15 Eevee - 6666 C
Lv. 15 Porygon - 9999 C
Gen II (GSC)
TM14 Blizzard - 5500 C
TM25 Thunder - 5500 C
TM38 Fire Blast - 5500 C
Lv. 10 Abra - 200 C
Lv. 10 Ekans - 700 C (Gold only)
Lv. 10 Sandshrew - 700 C (Silver only)
LV. 10 Dratini - 2100 C
Lv. 5 Abra - 100 C (Crystal only)
Lv. 15 Cubone - 800 C (Crystal only)
Lv. 15 Wobbuffet - 1500 C (Crystal only)
Gen IV (HG/SS)
TM13 Ice Beam - 10000 C
TM24 Thunderbolt - 10000 C
TM35 Flamethrower - 10000 C
TM44 Rest - 6000 C
TM75 Swords Dance - 4000 C
TM90 Substitute - 2000 C
Silk Scarf - 1000 C
Wide Lens - 1000 C
Zoom Lens - 1000 C
Metronome - 1000 C
Lv. 15 Abra - 200 C
Lv. 15 Ekans - 700 C (HeartGold only)
Lv. 15 Sandshrew - 700 C (SoulSilver only)
LV. 15 Dratini - 2100 C
Gen III (RSE)
TM13 Ice Beam - 4000 C
TM24 Thunderbolt - 4000 C
TM29 Psychic - 3500 C
TM32 Double Team - 1500 C
TM35 Flamethrower - 4000 C
Treecko Doll - 1000 C
Torchic Doll - 1000 C
Mudkip Doll - 1000 C
Gen IV (D/P/Pt)
TM10 Hidden Power - 6000 C
TM13 Ice Beam - 10000 C
TM21 Frustration - 8000 C
TM24 Thunderbolt - 10000 C
TM27 Return - 8000 C
TM29 Psychic - 10000 C
TM32 Double Team - 4000 C
TM35 Flamethrower - 10000 C
TM44 Rest - 6000 C
TM58 Endure - 2000 C
TM68 Giga Impact - 20000 C
TM74 Gyro Ball - 15000 C
TM75 Swords Dance - 4000 C
TM89 U-turn - 6000 C
TM90 Substitute - 2000 C
Silk Scarf - 1000 C
Wide Lens - 1000 C
Zoom Lens - 1000 C
Metronome - 1000 C
There are two other Game Corners in the games (Joyful Game Corner and Mossdeep Game Corner), but they don't give out prizes -- they merely allow you to connect with other people and play minigames.
Hope I helped!