Ok as this is my home town and is accessible to me am going to find some things for Manchester.

Museum of Science and Industry
Manchester Art Gallery
Peoples history museum
Manchester Museum
The Lowry Centre
Imperial war museum north
Heaton park
National football museum
Whitworth Gallery
Transport museum
Cornerhouse
Manchester Cathedral
Central library
John Rylands Library
The last two are amazing buildings

Transport in and around Manchester is really good and is more advisable than driving as apart from horendous traffice parking is expensive