1. Gears of War
2. Pokemon
3. Halo
4. Metal Gear Solid
5. Uncharted
6. Banjo-Kazooie
7. Killer Instinct
8. Persona
9. ICO
10. Souls

This may be edited when i think about it more

10. Crash Bandicoot
9. Pokemon
8. Dead Space
7. Uncharted
6. Pikmin
5. Ratchet & Clank
4. Fire Emblem
3. Paper Mario
2. Super Mario
1. Zelda

If Bayonetta had three entries, it would surely be in my top 5.

I always find lists like these weird to make, because things like Spyro the Dragon and Crash Bandicoot would totally be in there based on the first 3 entries alone, but then everything after that has been either a disappointment (Enter the Dragonfly; Wrath of Cortex) or something I've hated (Skylanders; Mind over Mutant). So I guess they don't get in.

So in terms of franchises that I've consistently liked:

10. Animal Crossing
9. Ys
8. Atelier
7. DanganRonpa
6. Metal Gear Solid
5. Final Fantasy
4. Wild ARMs
3. SSX
2. Ratchet & Clank
1. WipEout

1. Super Mario (3D)
2. Pokémon
3. Super Mario (RPG)
4. Bayonetta
5. Smash Bros
6. Far Cry
7. Gears of War
8. Devil May Cry
9. Splinter cell
10. Fire Emblend

Honorable metion:
Super Mario 2D
Mario Kart
Tomb Raider
Assassin's Creed
Call of Duty
Deus EX
GTA

10.The Sims

9.Super Mario

8.Warrior's games. - Hyrule + Samurai.

7.Rayman

6.Dragon Quest

5.Kid Icarus

4.Assassins Creed

3.Super Smash Bros.

2.The Legend of Zelda

1.Bayonetta

10. Ratchet & Clank
9. Mario Kart
8. Final Fantasy
7. Persona
6. God of War
5. Project Gotham Racing
4. Uncharted
3. Fallout
2. Elder Scrolls
1. 3D Mario Games

Probably forgotten a load of series that would have a chance of being top 10, but that is it for now
1.

10. Animal Crossing

9. F-Zero

8. Pokemon

7. Tales of series

6. Pokemon

5. Monster Hunter

4. Mario (platformers)

3. Metal Gear Solid

2. Super Smash Bros.

1. Legend of Zelda

Honorable Mentions:

Fire Emblem

Mother series

Kingdom Hearts

Kirby

Persona

Trying to make this list reminded me of how many series that I enjoy actually.

I don't really know of I can complete this since I don't know if I even played 3 games of 10 different Franchises. But let's see.

10. FIFA
9. Dragon Age
8. God Of War
7. Infamous
6. Borderlands
5. Super Mario (anything including all the spinoffs)
4. Assassin's Creed
3. Zelda
2. Gothic
1. Final Fantasy

That's it. I can't even think of an 11th franchise that I played 3 games of. So far I only completed one DQ game but that will change in the near future so someone is probably gonna kicked out of this list for that.

1. Zelda
2. Metroid
3. Uncharted
4. Super Smash Bros.
5. Metal Gear
6. Final Fantasy
7. Mario
8. Ratchet & Clank
9. InFamous
10. Banjo-Kazooie (almost solely based on how much I love the first game)

10. Mario 2D
9. Max Payne
8. Gran Turismo
7. Resident Evil
6. Hitman
5. Mass Effect
4. Metal Gear Solid
3. Ratchet & Clank
2. Uncharted
1. Grand Theft Auto