Manchester does indeed have specific departure paths and they're known as Standard Instrument Departures (SIDS). The following link will take you to the AIS site where you can select the appropriate chart.
NATS | AIS - Home
The approach paths to MAN are also well defined routes; known as Standard Approach Routes (STARS). The above link will also lead you to the appropriate STAR.
The ILS approach path, for example, RWY 23R, extends (in a straight line) towards and beyond the Stockport area.
The ILS approach to RWY 05L extends (in a straight line) towards and beyond the Knutsford area.
TCF