There's loooots of ancient rivers around, or less ancient former riverbeds. Be wary, thinking about these things leads to an amateur interest in geology. ;)
Today I drove across the former riverbed of a large river that flows out to sea 10 minutes north of the largest city on my island. [0] It has changed course several times in the past, it used to flow out to sea at Te Waihora [1], a brackish coastal lake about 50km south of it's current mouth, when Pakeha arrived, its river mouth was in it's current location.
But in the early days of European colonisation, it flooded Christchurch when a large flood led to it breaking out into an old course that led to the Avon River/Ōtākaro [2] which the city was built around. And fun fact, this course leads straight through the international airport was eventually built!
It's very hard to see from the ground unless you know what you're looking for, but from the air the old courses are unmissable. [3] If you zoom out somewhat, you can trace the swirling branches of the former braided riverbed across the plains.
A lot of engineering effort has gone into keeping the "Cold Water" (wai being Māori for water, makariri for "cold") river from finding its old courses. [4]
And so, there's a lot of places around Christchurch called islands, that no longer are, like Coutts Island, or McLeans Island. [5]
But who knows, maybe they'll become islands again. In these days of climate change, NIWA predictions for the South Island / Te Waipounamu are that northwesterly flows will become more prevalent, which are the weather patterns that bring heavy rains to the headwaters of the Waimak.
The stopbanks are designed for a 5000 cumec flood, but in our brave new world, I'm unsure how long it will be until the stopbanks are breached, and the river seeks to find its old ways to the sea again.
[0]: https://en.wikipedia.org/wiki/Waimakariri_River
[1]: https://www.doc.govt.nz/parks-and-recreation/places-to-go/ca...
[2]: https://en.wikipedia.org/wiki/Avon_River_/_Ōtākaro
[3]: https://www.google.co.nz/maps/place/43°28'47.2"S+172°21'59.3...
[4]: https://www.nzgeo.com/stories/the-river-never-sleeps/
[5]: https://en.wikipedia.org/wiki/McLeans_Island