So, with enormous thanks to sunhuntin, I think we have:
- 中世行き - to the Middle Ages*
- 戦国行き - to the Warring States period**
- 古代行き - to Ancient Times
- 未来行き - to the Future
- 原始行き - to the Beginning
- 宇宙行き - to Space
* In Japan the 'Middle Ages' refers specifically to the Kamakura and Muromachi periods, 1185 to 1573
** The Warring States or Sengoku period in Japanese history was marked by near-constant civil war, social upheaval, and political intrigue. 1467 to 1615, (and Sengoku is a subway station on the Toei Mita Line).
Hopefully Vio will check this out and tell me if I've got anything wrong.