Exactly what Op says, which franchises have you played every game of that has at least 3 installments.

Additional Rules: It counts if the game has two versions but literally was the same game (with some exclusive/new things) Ex: Pokemon Blue/Red

: Certain Spinoffs dont necessarily count if it plays nothing like the normal franchise would. Ex: You played all Halo besides Halo Wars, that counts as you playing all of Halo. Another Ex: Gears of War 1-3 and you have to play the lastest one to count (all 4).

:As for Mario, seperate franchises count. Dont put it together Ex: Mario Kart=/=Mario Party

Ok Show me all the franchises you played

God of war, infamous, COD: Modern warfare etc.

MK
Zelda
Kirby
Pokemon
Metroid
Starcraft
C&C
FF (most)
MGS
etc

2D Mario
Mario Kart
Ratchet & Clank
Pokemon
Sly Cooper

Bioshock        

3D Mario
Paper Mario
Pokemon
Jak and Daxter
Halo
Uncharted
Pokemon Mystery Dungeon
Kirby
Pokemon Ranger
NHL (EA)
Mario + Luigi

FORGOT MY LOVE!!!!!!!!! Saints Row <3

3D Mario
Mario Kart
Zelda
Metroid (and I love Other M)
Pokemon
Metal Gear Solid

Mario
Mario Party
Mario Kart
Legend of Zelda
Pokemon
Halo
Paper Mario
That's all I can think of. Maybe some more will come to my mind later.

Metroid
Mario Kart
Smash Bros
Halo

Etc.

I'm ashamed to admit it, but not many :

+Gears of War (1 to 3)
+Mass Effect
+Metroid Prime

But soon, there will be more, like The Witcher (played the first 2), Saints Row (still don't have the 4th) or Assassins Creed (I'm always a year behind).