Only the following Pokemon require a water stone to be used on them for them to evolve.
Poliwhirl to Poliwrath
Shellder to Cloyster
Staryu to Starmie
Eevee to Vaporeon
Lombre to Ludicolo
Panpour to Simipour
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Lombre can evolve into Ludicolo with a Water Stone (Lombre can also be traded to evolve).
The Pokemon that evolve using a water stone: Eevee Starmie Lombre Poliwhirl, too...
There is no Pokemon in sinnoh that evolves by a water stone.
Petilil will evolve with a sun stone, pansage with a leaf stone, panpour with a water stone, and pansear will evolve with a fire stone.
Poliwhirl, Shellder, Staryu, Eevee, and Lombre all evolve with a water stone.