New Primal Interest

[Kahnom]

I'd prefer the opposite. We need at least one really monstrous girl primal before another beautiful one.. Maybe a sexy male primal for once too.

Titan ain't sexy enough ? He wears only a boxer underwear.

[Gallus]

Zodiark would be cool

[Enkidoh]

Zodiark would be cool

I like FFX so I vote for Anima and Valefor .

Maybe Kjata

Honestly, I'd like to see a Doom Train.

The problem with all these answers is, just like Diabolos and Fenrir, they are already referred to in game as specific enemies or aspects of the story/lore which has absolutely nothing to do with summoning (anima for instance is just another name for the body's tolerance to teleporting - using all your anima up means you can no longer teleport until you've rested, although the game mostly glosses over that little detail), thus meaning they will never be actual summons or even Primals in this game.

Plus given a while ago I recall Yoshi stating that they were actually trying to move the story away from dealing with the Primals and taking it in a different direction, I doubt we're going to see much of an increase in new Primals being added to the game other than what we already have.

But may I be proved wrong though!

[Atlaworks]

Dude why hasn't anyone said Jumbo Cactuar? Jumbo Sabotendeur.

Jumbotendeur.

One Million Needles

[VitalSuit]

Would definitely like to see Yojimbo but Yojimbo was just FFX's version of Greg and Odin.

[Belhi]

Valefor is already a boss in Labyrinth of the Ancients. Even though it's just a large scale demon/dragon mob.

Actually, if you pay attention during the side quests while levelling up there are a group of Lalafel which seem to refer to a Valefor that sounds much more like the FF 10 version since it can apparently fly.

[aerolol]

Considering both Ravana (Fire/Earth) and Bismarck (Water/Wind) have been dual-aspected primals this go around, the next to come out might be Lightning/Ice, although I'm not sure who'd be the best summon to use for that.

Tritoch (a.k.a. Valigarmanda) or Kujata would be good choices imo, although they are Fire/Ice/Lightning

Quetzalcoatl too, even though originally it was only a lightning summon, but then again, Bismark has always been a water-only summon.
The wind aspect it got besides water is FF14 thing.

[Mikedizzy]

Test...test...test...

[Freyyy]

What about Maduin

[Somewarlock84]

Magus Sisters would be great. Tho we already have a bug person for this expansion. Maduin would be good. Tho I think we will see the Warring Triad awaken 1st before any other primals pop up.