Kata
Term	Meaning
Kata	Form(s)
Heian Shodan	"Stable and secure" / "stable peace," "first level"
Heian Nidan	Ditto, "Second Level"
Heian Sandan	Ditto, "Third Level"
Heian Yondan	You get the idea
Heian Godan
Tekki Shodan	"Iron horseman," "first level"
Bassai Dai	"Destroying a fortress," "greater" version (*)
Empi	"Flight of the swallow"
Jion	"Compassion and favor" (This is a Buddhist term and possibly the name of some temple.)
Kanku Dai	"Observing the sky/emptiness," "greater" version (*)
Jutte / Jitte	"Ten hands"
Hangetsu	"Half moon"
Tekki Nidan
Tekki Sandan
Nijuushiho	"Twenty-four steps"
Gankaku	"Boulder crane" (the bird on a rock)
Sochin [Soh-Chin]	"Strength and control"
Bassai Sho [Shoh]	"Destroying a fortress," "lesser" version (*)
Kankuu Sho [Shoh]	"Observing the sky/emptiness," "lesser" version (*)
Unsu [Unsuu]	"Cloud hands"
Gojuushiho (Dai)	"Fifty-four steps," "greater" version (*)
Gojuushiho Sho [Shoh]	"Fifty-four steps," "lesser" version (*)
Meikyo [Meikyoh]	"Bright mirror"
Ji'in	"Compassion and shadow" (Possibly another temple.)
Chinte	"Rare hands"
Wankan	"King's crown"
(*) Kata with "lesser" or "greater" attached ("sho" or "dai") don't really mean "lesser" or "greater" in any quantitative sense. It's just a way of distinguishing two different kata.