Coastal trails
These follow coast lines. A good example is the South West Coast Path in England
Coast to coast trails
These may be cross-country paths, or may follow roadways, or other ways, and often intersect with many other trails in the process. A good example is the Coast to Coast path in northern England.
Mountain trails
Two good examples of mountain trails are the Appalachian Trail and the Pacific Crest Trail
Cross-country trails
These are trails on old railroad beds, an example is the Longdendale Trail.
Also see: