Goose by Adolfo Cerceda

 From Vicente Palacios's Fascinating Origami.

Master Fox by Adolfo Cerceda

Requires two small cuts for the tail. From Vicente Palacios's Fascinating Origami.

White walrus by Robert Harbin

 From Robert Harbin's New Adventures in Origami.

Tyrannosaurus by John Montroll.

Made from a dollar bill. From John Montroll's Dollar Bill Origami.

Lyra—the Lyre by Yoshihide Momotani

 From Yoshihide Momotani's Origami Constellations.

Four cubes by David Mitchell

 Made from six squares. From David Mitchell's "Origami Heaven" website (http://www.origamiheaven.com/modulardesignsindex.htm)

Sitting Scottie dog by Neal Elias

 From Robert Harbin's Secrets of Origami

Twist by Robert Neale

 From Samuel Randlett (ed.) The Flapping Bird (issue number 9)

Wise bird by Miguel de Unamuno

 From Vicente Palacios's Papirogami. Plus, here's an interesting article about Unamuno and his "pajaro sabio".

Scarlet carp (traditional Japanese)

 From Samuel Randlett's The Art of Origami.

Dove cote by Neal Elias

 From Robert Harbin's Secrets of Origami

Scavenger beetle by John Montroll

Folded from silver foil paper. From John Montroll's Bugs and Birds in Origami

Praying moor (Spanish; attributed to a disciple of Miguel de Unamuno)

From Vicente Palacios's Papirogami. (This same model appears in Harbin's Secrets of Origami, where it seems to be mistakenly attributed to "Miguel A. Salvatella," the name of the publisher of Papirogami.)

 

Horrors by Robert Neale (Ghost, Dwarf, Headless Man)

 From Samuel Randlett (ed.), The Flapping Bird (issue number 1)

Coyote by John Montroll

Made from a square of gold foil paper. Took me three tries and it STILL looks more like a cross between a cow and a corgi. From John Montroll's Bringing Origami to Life.

Shooting star by Jun Maekawa (simplified folding method by Kunihiko Kasahara)

 Made from a square of silver foil with blue backing. From Kunihiko Kasahara's Amazing Origami.

Gorilla by Robert Neale

 From Robert Harbin's Secrets of Origami

Bat by George Rhoads

From Robert Harbin's Secrets of Origami. (I did not make the two slits needed in order to form the feet.)

Rabbit by Samuel Randlett

 From Samuel Randlett's The Art of Origami.

Owl by Nguyễn Hùng Cường

 Made with a square of gold foil paper. From a YouTube video by Jo Nakashima.

Meerkat by Lionel Albertino

 Folding instructions from "The Crafty Man" YouTube channel

Cactus plant by Mitsunobu Sonobe, Rae Cooker, and Florence Temko

Made from three squares of paper. From Gay Merrill Gross's Origami: New Ideas for Paperfolding. (I don't own this book; found it on archive.org.)

Elephant by Nobuyoshi Enomoto

From Rick Beech's The Art of Origami. (I do not own this book; found on archive.org.)

Crater by Marcia Joy Miller

 From Marcia Joy Miller's Origami for Busy People. (I do not own this book; found it on archive.org.)

Hobby Horse (Rupert's horse head paperfold) by Martin Wall

 From The Rupert Annual no. 79 (2014). (I do not own this book; found it on archive.org)

Tubble by Robert Harbin.

It's a table. It's a tub. It's a tubble. From Samuel Randlett (ed.), The Flapping Bird (issue number 5)