[ecfisa]

Hola shoulder.

Código Delphi [-]
...
implementation

uses Contnrs, DateUtils;

type
  TClassFile = class
    Name : string;
    Date : TDateTime;
  end;

procedure SortFilesByDate( Path: string; TS: TStrings );

  function Compare( a, b: Pointer ): Integer;
  begin
    Result:= CompareDateTime( TClassFile(a).Date, TClassFile(b).Date );
  end;

var
  Lista: TObjectList;
  cFile: TClassFile;
  SR   : TSearchRec;
  i    : Integer;
begin
  Path := IncludeTrailingPathDelimiter( Path );
  if FindFirst( Path + '*.*', faArchive, SR ) = 0 then
  begin
    Lista:= TObjectList.Create;
    try
      repeat
        cFile      := TClassFile.Create;
        cFile.Name := SR.Name;
        cFile.Date := FileDateToDatetime( SR.Time );
        Lista.Add( cFile );
      until FindNext( SR ) <> 0;
      FindClose( SR );
      Lista.Sort( @Compare );
      for i:= 0 to Lista.Count-1 do
        TS.Add( TClassFile(Lista[i]).Name );
    finally
      Lista.Free;
    end;
  end;
end;

Ejemplo de uso:

Código Delphi [-]
procedure TForm1.btnSortClick(Sender: TObject);
begin
  SortFilesByDate( 'C:\Una_Carpeta', ListBox1.Items );
end;

Saludos