Buckingham UK is a great base for walking in the town itself. Have a look at the Things to do in Buckingham page for more informationa about the Circular Walk, the Buckingham Town Trail, the Riverside Walk, a walk to St Rumbold’s Well and exploring Maids Moreton Avenue.
There are many public footpaths and bridle ways in and arrond Buckingham which are well worth exploring - just look at an OS map.
Several popular circular walks including the following locations: Thornborough, Claydon Woods and Tingewick & Water Stratford. Other local walks which are well used include: Brill, Stewkley, Oving / North Marston although these are further afield.
There are a number of long distance walks which go through or near to Buckingham including the Bernwood Jubilee Way, the North Bucks Way and the South Bucks Way.
A long distance Bridle Path called the Swans Way also comes near to the South of Buckingham.