Ping-pong requires a paddle but isn't played on water.
Paddleball also requires a paddle and isn't played on water, but isn't necessarily a sport.
Padel is a racquet sport in the US and Canada
A sport which requires water to be played.
Another word for a light vehicle rowed by a paddle is "kayak." Kayaks are typically narrow and designed for one or two people, allowing for maneuverability and speed on water. They are commonly used for recreation, sport, and exploration.
A kayak paddle will have two blades, and you paddle by pulling each through the water in turn. A canoe paddle just has the one blade, and you paddle by pulling it through the water on alternate sides of your craft.
Water Polo
You paddle with an oar. If you are talking about paddle wheels, the wheel turns because of the bucket boards. The boards dip in the water and turn.
Water polo and water volleyball are sports played with a ball in a pool.
Paddle Wade
Oar ( paddle) and ore ( mineral to be mined, such as iron ore)
There is Swimming, Water Polo, Diving, and Water Aerobics.
A paddling pool is a pool, usually inflatable, which has enough water to paddle as opposed to swim.
They do the doggy paddle