Just off the top of my head, but;

Edinburgh Waverley - Glasgow Queen Street
Edinburgh Waverley - Glasgow Charing Cross

Heworth - Sunderland
Heworth - Metro Centre

Newcastle - London Kings Cross
Newcastle - Carlisle
Newcastle - Manchester Piccadilly
Newcastle - York
Newcastle - Edinburgh
Newcastle - Durham
Newcastle - Darlington
Newcastle - Glasgow Central
Newcastle - Leeds

Carlisle - Preston
Carlisle - Workington
Carlisle - London Euston

Chester Le Street - Newcastle

London St Pancreas - Brighton
London Bridge - Brighton
London Kings Cross - Peterborough

Manchester Piccadilly - Crewe
Manchester Piccadilly - Blackpool North
Manchester Piccadilly - London Euston
Manchester Piccadilly - York

York - Blackpool North
York - Preston