1. The Legend of Zelda
2. Batman:Arkham
3/4/5/6 are a tie
Mega Man
Sonic
Donkey Kong
Mario
7.Smash Bros.
8.Bayonetta
9. F-Zero
10. Star Fox

Honourable mentions:
007
Star Wars
Mass Effect
Assassin's Creed
Wario (ware, land, world, woods)

*the series Iisted also include their spinoffs

In no particular order: Super Mario, Zelda, Metroid, Mega Man, Resident Evil, Rayman, Mario Kart, Smash Bros, Uncharted and BioShock.

Franchises Favourites

1.    Legend of Zelda                                              [Link's Awakening DX, Twilight Princess, Windwaker]
2.    Sonic the Hedgehog      [Sonic 2, Sonic + Knuckles, Sonic Adventure 2]
3.    Phantasy Star (Offline/Online)                    [Phantasy Star Online 3 C.A.R.D Revolution, Phantasy Star 4, Phantasy Star Online]
4.    Another Code/Trace Memory (RIP CING) [Another Code R, Trace Memory, HOTEL DUSK <3]
5.    F-Zero [F Zero GX/AX, F Zero GP, F Zero X]
6.    Animal Crossing [Animal Crossing GC, Animal Crossing 3DS, Animal Crossing DS]
7.    Final Fantasy [FF7, FF 8, FF Crystal Chronicles GC]
8.    Pokemon [Pokemon Blue, Pokemon Saphire, Pokemon White]
9.    Pikmin                                                             [Pikmin 3, Pikmin 2, Pikmin 1]
10.  Shin Megami Tensei (NOT PERSONA)  [Strange Journey, SMT Soul Hackers, SMT Devil Survivor]





I made this list semi-quick. I may have forgotten about some other favourites that I love. (It was hard to rank 3-10, not official)

grand theft auto!!!!! that's pretty much it. Anything else I can take it and leave it.