Katas showed in this video:
1. Yukitsure
2. Tsuredachi
3. Somakuri
4. Sodome
5. Shinobu
6. Yukichigai
7. Sodesurigaeshi
8. Moniri
9. Kabezoi
10. Ukenagashi
11. *** Oikakegiri ***
12. *** Ryoshi Hikitsure ***
13. Itomagoi
*** Note: those two katas were discarted when Oe Masamichi re-organized the old katas, because he believed they were against the proper Bushido code.
Oikakegiri involves pursuing a fleeing enemy and killing him from behind.
Ryoshi Hikitsure involves killing somebody you take by force, without giving them a chance to escape.