Generally speaking you're going to be shopping for Recreational Kayaks if stability is your primary concern. Touring Kayaks, aka sea kayaks, are designed to be fast and sleak, but they're narrower and more tippy as well. "Crossover" kayaks like the Jackson Rogue, LiquidLogic Remix XP, Pyranha Fusion, etc are also going to be less stable.
Of course their are a LOT of "touring kayaks" out there. I've put together a list though which you can check out here:
Recreational Kayaks
Good luck and feel free to elaborate on your needs if you want more feedback. i.e. where will the boat be used, what's your budget, etc Best,
Dustin