Which lines should be four tracks? Most of these it will be impossible to build extra tracks though as there is no land available.
The most obvious ones I can think of:
Law Junction to Glasgow Central.
Drem to Edinburgh Waverly.
Rugby to Birmingham New Street.
King's Norton to Birmingham New Street.
Welywn.
Huntingdon to Peterborough.
With the exception of the last one, none of these will likely ever be four tracked as there just isn't the land available.
The most obvious ones I can think of:
Law Junction to Glasgow Central.
Drem to Edinburgh Waverly.
Rugby to Birmingham New Street.
King's Norton to Birmingham New Street.
Welywn.
Huntingdon to Peterborough.
With the exception of the last one, none of these will likely ever be four tracked as there just isn't the land available.