Let's go back to the verses we skipped.  They may be a review of Gen. 1:20-21.  Or it could be that Gen. 1:20-21 applied only to sea birds and sea life.  And perhaps Gen. 2:19-20 covers other animals.

Gen.2. 19-20  "And out of the ground the Lord God formed every beast of the field, and every fowl of the air; and brought them unto Adam to see what he would call them:  and whatsoever Adam called every living creature, that was the name thereof.  And Adam gave names to all cattle, and to the fowl of the air, and to every beast of the field; but for Adam there was not found an help meet for him."

God formed:   1.  Beasts of the field    2. Fowl of the air     3.  Every living creature  4. Cattle.

That about covers the animals.  Don't forget that when I started this blog, I told you that the creatures of the sea, and those that lived in murky dampness, were never distroyed between Gen. 1:1 and Gen. 1:2.  They lived in water and when the dinosaurs vanished from the land, sea creatures didn't.  For millions and millions of years, sea life has survived virtually unchanged.  A shark from millions and millions of years ago looks almost exactly like a shark does  today.

 But between verse one and two, almost every type of life on the land vanished.  (Birds are the only dinosaurs that remain.  They were also able to survive.  Probably by nesting on floating debris, eating fish.  The food chain for birds hadn't been completely destroyed.