Actually, there is a very, very famous distributary: The East River which breaks from the Hudson River to flow east of Manhattan Island. And before someone chimes in to claim that the East River is not a distributary because it flows back into the Hudson:
I noticed the Casiquiare on my atlas years ago when tracing the Amazon, and thought it must have been a cartographical blunder at first (“Rivers don’t do that!”), but I looked into it and found that it was real. I remember at the time thinking it was pretty cool. (As for the name, it just means “channel”.)
Read more about its discovery and exploration here.
That link mentions that there was talk of dredging and widening it into an artificial canal, but that is unlikely to happen due to environmental concerns (and quite right too).
There’s one thing I wonder about that: Does the creek just split into two or does one arm join a completely different river system as the Casiquiare does?
Here is a page with a good map and photos of the “Parting of the Waters” on Two Ocean Creek. The Pacific branch flows into the Snake River; the Atlantic one into the Yellowstone. I guess this little stream effectively splits the US right in two!
That didn’t really answer my question. What I meant was: do they just split up and form two separate systems or does one (or both) later act as a tributary to another river, as is the case with the Casiquiare.
To the best of my recollection, Floater (I visited the place years ago), one part of the creek eventually flows into the Columbia River while the other flows into one of the Saskatchewan rivers. So they don’t form basins in their own right.