Final answer:
The four British cities with underground rail systems are London, Glasgow, Newcastle, and Liverpool, with London having the oldest system in the world.
Step-by-step explanation:
The four British cities that have underground rail systems are London, Glasgow, Newcastle, and Liverpool. London's underground, the London Underground, is the oldest metro system in the world, having opened in 1863. Glasgow introduced its underground system, known as the Glasgow Subway, in 1896. The Tyne and Wear Metro serves Newcastle and was opened in the 1980s. Liverpool's underground rail system is part of the Merseyrail network, which includes underground stations in Liverpool city centre. It's interesting to note that while Manchester is well-known for its role in the Industrial Revolution and has a rich transport history, its Metrolink system is a tram network and not an underground rail system.