One other regular service from Liverpool Exchange not mentioned yet was direct trains to/from industrial East Lancashire via Ormskirk & Blackburn. These ran direct from Moss Lane Jn and Lostock Hall Jn, not going into Preston.
Into the early 1960s, these seemed to be timed to cater for old-school businessmen's travel between Colne, Burnley, Accrington, Blackburn and Liverpool and vice versa (at a time when the working day of a business owner or company executive could be much more leisurely than today).
In the 1960 timetable, into Liverpool there was a daily 08:21 from Skipton, stopping most stations via Colne to Blackburn and arriving in Liverpool Exchange at 10:46 (jump in a taxi, couple of business appointments, then maybe a long lunch in the Directors' Dining Room).
In the afternoon there was a 17:32 from Blackburn, direct to Liverpool Exchange (arr 18:30), which had a smart connection at Blackburn out of the afternoon "residential" train from Colne to Blackpool Central.
From Liverpool, shipping or insurance company officers could call on their cotton mill clients using the 09:13 Liverpool Exchange to Blackburn (stopping only at Ormskirk & Burscough Jn, with a good connection forward from Blackburn for East Lancashire stations).
Later in the day, cotton mill owners & the odd prosperous farmer could return from the port city on the 16.40 express from Liverpool Exchange, which stopped and divided at Midge Hall (of all places) into one portion for Blackpool Central and another going express to Blackburn, then most stations via Burnley & Colne to Skipton.
I'd imagine by the 1960s this world would be evaporating with the decline in the area's industries and Liverpool's commercial importance, and especially with people being much more likely to have company cars and drive them on business trips. Not sure exactly when Exchange/ East Lancashire trains ended, but certainly before the Glasgow/Edinburgh, Blackpool and Leeds via Calder Valley services ceased. I doubt this style of travel would transfer from steam to 2-car DMUs.