Three kinds of surface right
California mixes two doctrines. A riparian right lets land next to a stream use the natural flow. It stays with the land and isn't lost by nonuse. Appropriative rights that began before 1914 need no state permit, as long as use hasn't grown since then.
Anyone who started using surface water, or water from a subterranean stream, after 1914 needs a permit and later a license from the State Water Board. Riparian and pre-1914 claimants file a Statement of Water Diversion and Use instead. All of these can be searched in CalWATRS.
Why California isn't on the map yet
Most pre-1914 and riparian claims in the State Water Board's records carry no priority date. California also has no statewide permit system for groundwater rights, since the Board's permits don't reach ordinary percolating groundwater. A map built on those records would leave out the details that matter most.