Pendleton, previously Pendleton Broad Street, lost most of its traffic when Salford Crescent was opened. It survived for a few years with a handful of daily trains, until arsonists set fire to it, and it became impossible to access the platforms, and it was closed "temporarily". Although not served by any trains, official / final closure only took place 2-3 years after the fire. There was another Pendleton station, on the Manchester - Bolton line that closed in 1966. A few Manchester - Bolton line trains ran via Pendleton (Broad St.) and the connection from Brindle heath Jn to Agecroft Jn.
Several of the stations listed in other posts closed because they served areas where the local population had declined due to redevelopment, or the industries they served had closed or declined (e.g. Miles Platting, Park). Others closed because they were replaced by stations located more conveniently for local populations (e.g. Royton Jn, replaced by Derker, and Godley East (formerly Godley Jn) replaced by Godley.
A list of known station closing dates can be found here:
http://en.wikipedia.org/wiki/List_of_closed_railway_stations_in_Britain