So... is Tetsuko no Tabi finished or not?
NO, it is not finished.
Why?
The anime finished after the manga:
Anime finished: September 23, 2007
Manga finished: January 01, 2006
... But MangaUpdates contains information about the anime adaptation and indicates that it is incomplete.
Watching Order (by release date)
Here you have all the anime relations we detected ordered by release date, so you can see the reason for this status in context and also use it as watching order.
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Synopsis
Tetsuko no Tabi follows a manga artist named Tetsuko as she's tasked by her editor to join him and a train enthusiast on train journeys throughout Japan. Tetsuko's job is to document their travels in manga form.
The anime chronicles these real-life trips, showing their experiences navigating the Japanese rail system. The train enthusiast is deeply knowledgeable about trains and meticulously plans their itineraries, often to an extreme degree.
Tetsuko, in contrast, is more interested in the food and finds the planner's obsessive approach amusing. The anime focuses on the dynamic between these characters and the quirky realities of their train adventures.
The story highlights everyday moments and the peculiarities of train travel in Japan, offering a slice-of-life depiction of their journeys and a glimpse into the world of train otaku culture.