Karate Katas are learned in the following sequence:

Taikyoku shodan (first cause)

the five heian katas (peaceful mind)

Heian Shodan, Heian Nidan, Heian Sandan, Heian Yondan, Heian Godan

Tekki kata

Bassai Dai

Kankudai

Jion

Jitte

Hangetsu

Jiin

Nijushiho

Meikyo

Sochin.

There are many more kata, including the lesser forms (sho) of bassai and kanku.