In the town of Shrewsbury the most noteable place would be the former home of Charles Darwin then on to Shrewsbury School one of the nine great schools in England click on link for a list of famous pupils
http://en.wikipedia.org/wiki/Category:Old_Salopians, a mile as the crow flies from my home is the worlds first iron framed building the great great grand father of the first skyscrapers.
But it is the fabric & layout of the town which is so enchanting, basically it is a medival town though its origins go much further back with its olde worlde mix of shuts* & passages & medival buildings it is probably what the first time visitor to England expects to find along with typicaly quaint street names such as Shoplatch, Grope Lane & Dogpole.
Take a trip through the county of Shropshire & you have Coalbrookdale the birth place of the industrial revolution where the worlds first iron bridge stands designed & built by Thomas Telford, just a 30 min drive away is RAF Cosford
which now has a new building dedicated to the "cold war".
Shropshire is Englands largest land locked county & is still very rural in a recent survey it came 4th in being the best place for tranquility & no visitor to the county should leave until they have gazed upon Shropshire from Wenlock Edge then the viewer will truly believe the saying "Before God made Shropshire he practised on Paradise".
* The term Shut is probably medival in origin & describes a very narrow passage or alley way.
N.B. The George C. Scott version of A Christmas Carol was filmed in Shrewsbury.