For next release, I would definitely like it to be a new adventure.
They've released Pokémon Omega Ruby and Alpha Sapphire recently; I've bought former, and am enjoying each and every second of it. I've been waiting for them to create some remake of Ruby, Sapphire, and Emerald for quite some time, and seeing it finally become reality is a great feeling. They could begin another remake if they would like (for Diamond, Pearl, and Platinum, perhaps?) but traditionally, they announce new games after each and every remake, and I'm sure many of us are used to that formula, including myself.
Of course, they are always free to experiment by breaking their tradition and whatnot to see how things go, but for some of us, things would feel rather imbalanced; we would likely find ourselves requesting them to create something with new story. Remakes are great, but if released continuously without any break of sorts, they'd probably wind up losing a bit of their touch, so to speak.