Here are some of the Greenbriars in the genus Smilax, illustrations for “A Field Guide to Woody Vines of Eastern North America”.
Bristly Greenbriar, Smilax tamnoides
Sawbriar, Smilax glauca
This Greenbriar is called Catbriar, Smilax bona-nox
Bamboo vine, Smilax laurifolia
Lanceleaf Greenbriar, Smilax smallii
Coral Greenbriar, Smilax walteri