Croc's Family

Big Croc1 and Big Croc 2 are seen only in the final cutscene of Croc 2 after Croc had beaten Croc. The island that they lived on (dubbed Croc Island by fans) was accessed by the Professor Gobbo's airplane.

Big Croc 1 wears a blue and white striped full body suit, carries a pipe, and has a mustache. Big Croc 2 wears a pink and white striped body suit, wears a hat, and has eyelashes and lipstick. Small Croc is just a miniature version of Croc, minus the backpack. The gender is currently Croc. We learn little about these Crocs in the short amount of time they are introduced.

The Croc Eggs
On Croc Island, big Crocs have three Croc eggs in a basket. At the end of the final cutscene, Croc is shown stealing these Croc eggs. The object of the bonus levels is, essentially, to retrieve the three Croc eggs from their various hiding spots.

Trivia

 * In the games that followed, Croc's Family are entirely absent, and Croc appears to have returned home to King Rufus.