"The Square of Despair" for the Exeter to Okehampton/Barnstaple/Exmouth/Paignton lines (GWR, Exeter depot)
I believe prior to Okehampton’s full reopening giving a fourth branch, these routes were known as the “Triangle of Doom”.
As briefly mentioned above, the route between London Waterloo and Guildford via Cobham is known as the New Line, and crew almost unanimously refer to trains over it as “New Liners”.
The Salisbury - Romsey - Southampton - Romsey service is commonly referred to as the “Romsey Rocket”, and perhaps less commonly as the “Figure of 6” due to its shape.
Before the Guildford to Ascot service was split in two, these were generally referred to as “Ascots” (eg I’ve got Triple Ascots all week!). But since they were split, the Aldershot to Ascot services have remained known as “Ascots” while the Farnham to Guildford services are generally referred to by crews as “Shuttles”. With the then-new Farnham to Guildford shuttles getting ‘Juliet’ headcodes after the split, I always thought it was a shame the Aldershot to Ascot section retained the original ‘November’ headcodes. Because the two services are closely linked and crews at some depots can often spend a whole day doing a mix of the two, it could’ve been fun if the Ascots became ‘Romeo’ headcodes so those shifts would be ‘Romeos and Juliets’.
Not sure if these count as such, as they are more shortenings/generic names… The Waterloo to Waterloo via Kingston or Hounslow services are generally known as “Rounders”, Chessingtons as “Chessies” and Sheppertons as “Sheppies”.
To distinguish the Waterloo to Portsmouth via Guildford or via Eastleigh services, these are sometimes referred to as “The Direct” (the line via Guildford being the Portsmouth/Pompey Direct) or “Tangos” (the phonetic for the headcode used on via Eastleigh services).