Travelling salesman. Suppose you have a distance table of a set of destinations. Calculate the shortest or fastest route that visit all destinations.
Public transport planners like Amtrak.
Dijkstra's algorithm When you know if some stops are directly connected (without a stop in between) you can optimize processing.
Car navigation software (TomTom) and in Google Maps
Internet-navigation, the path of an HTTP or SMTP-message over the internet
Planning of Newspaper rounds in Manhatten, programming contest, organised in 1996 by Telegraaf
See also: Local search method.