Agreed. The series for good or bad has had tremendous influence on open world games as a genre too.

Still voted mass effect.

It was multiplat in Gen 7, and the first game still is.

Dark Souls. Favorite franchise of the bunch, got so huge it sparked its own sub-genre, which I absolutely love.
Bayonetta and Bioshock would be my second choice. Both great franchises I like a lot. Maybe even get Dead Space in there. The first two games are fantastic and the best horror of the gen IMO.
Mass Effect is a distant 3rd/5th place.

Mass Effect for me. Followed closely by Red Dead Redemption and Bioshock

souls influence is too much,

its a disease right now spreading like wildfire haha!

Resonance of Fate. Fun, unique battle system. Good atmosphere and characters.

Of the ones listed, Bayonetta, then Souls. I didn't really enjoy the other franchises listed. Bioshock came the closest, but the third game was a raging disappointment.

I'm going to say Valkyria Chronicles is far and away my favorite new 7th gen franchise, since the first game was my favorite game of the 7th gen. Granted, was exclusive to the PS3 and PSP, but I don't think that was because of any deal Sega had with Sony. It was more a case of Sega not seeing any point in spending money on releasing an already niche franchise on a heavily America-centric platform which they didn't think would respond to it at all, or trying to make its graphics work on the Wii and probably not making many sales there, either. The franchise went Multiplatform the next gen, including the Switch.

That poll is really missing Portal (which gets my vote).

Dead Space
It was a new take on the RE series and boy did they conquer the genre when RE went its direction of action over horror. Great story, great visuals, great gameplay, great everything. If their was a Dead Space 4 i would pre-order instantly.

Poll is missing Batman and that would be my vote.