I only learnt recently that fish account for between 97% and 99.99% of all vertebrates on Earth. The three percent uncertainty is because there is a lot of uncertainty about the number of reptiles. As an aside, I don’t even know how to count the number of lizards in my house.
That would seem to say that the most common vertebrate is a fish. But which fish?
The most common fish is any of the species of a deepwater fish sometimes called a “bristle mouth.” The fish is about the size of a small minnow. It is caught at 500 meters or deeper (wikipedia says 1000 metres or deeper) all over the world. https://thefisheriesblog.com/2017/07/17/the-most-common-fish/
It’s the most common fish in the sea is likely a fish that you’ve never seen or maybe even heard of. You may be scratching your head and wondering how that is possible.
What is a bristlemouth? It is a modestly-sized fish, reaching only around 3 inches in length, belonging to the genus Cyclothone. They are also known as “minnows of the deep.” These bristlemouths are characterized by bristle-like teeth and bioluminescent photophores, or light producing organs. There are trillions, maybe even quadrillions, of them swimming in the ocean depths. Cyclothone signata
All added up, Cyclothone is believed to be more abundant and have more biomass than any other vertebrate genus, not only in the sea, but in the entire world.

https://trawlersonthequay.co.uk/the-three-most-common-fish-in-the-sea/
The Cyclothone Bristlemouth is not only the most common fish in the world, but probably the most common vertebrate animal of any kind too. They’re not particularly edible, due to the phosphorescent sacs that line their upper bodies.
Even if you took the conservative estimate of the number of rats in the world and then added that to the human population, you’d still fall about 10 million times short of how many Cyclothones there are. And that’s just one species of Bristlemouth, of which there are about 10 – although Cyclothones are the most common.

Brislemouths feed mostly on zooplankton and small crustaceans. Their diet is 92-98% Crustacea. A minor part of their diet is made up an opportunistic encounter with smaller fish. Brislemouths that consume fish prey are found in individuals ranging from 70 mm to 75 mm. Bristlemouths do not have seasonal trends when it comes to their feeding habits. Bristlemouths are vertical migrators, migrating closer to the surface waters in the nighttime in order to find more food.
Protandrous sex reversal has been observed in these fish.
The fishes with the greatest commercial harvest are different. See https://www.worldatlas.com/articles/the-world-s-most-common-types-of-fish.html for a list.
mollwollfumble thinks it would be fascinating to tag and track these. Do they exist separately or in vast schools? Which fish and squid species eat them? Do they have migration routes?