I can understand the "Lightning is a female Cloud" comparison (I think Nomura made it himself If I remember right), but I really don't see how everything else looks like FF7.
FF7 was kinda techy, but this looks just plain futuristic. How many airships were there in FF7? The highwind and that WW2 looking plane that sunk underwater? Go look at the ships in the trailer, that's completely different.
Yes, there appears to be a resistance thing going on here, and AVALANCHE was a resistance, but that's really a dumb comparison. For one, Final Fantasy has had several "resistance" groups throughout the entire series (if I'm not mistaken, FFII was the first). Two, the group appears to be a bit larger than AVALANCHE. It looks more on par with FFVI's resistance group.
Yes, there's a guard scorpion-like boss in the trailer, I'll give you that. Honestly though, I don't think that's a very good argument at all.
EDIT: Oh yeah, the battle system.
From what we know it's supposed to be like Chrono Trigger (the devs made this comparison). No battle transitions. They also apparently ditched MP for some action point system or something.
This is mostly my speculation but from what it looks like in the trailer, they went back to FFX-2. No free movement in battle (although no transitions as I mentioned). It's ATBish, but characters and enemies all execute their attacks at the time of input rather than each attack happening one at a time.