Victoria
Companion animals, including dogs have been allowed to travel on the Melbourne suburban rail network (PTV trains) for a number of years.
They must be on a leash, wear a muzzle and be under control at all times. If they make a mess, the owner must clean it up.
Speaking to a driver of 17 years experience he said he had never had an issue with dogs on the train. People on the other hand…
The very reasonable rules can be found on the link below:
https://www.ptv.vic.gov.au/more/travelling-on-the-network/animals-on-public-transport/ (retrieved 19/2/2022)
Auckland
In late 2019 Auckland Transport (AT) allowed dogs on trains outside of peak hours. Dogs must be on a short leash, have a muzzle and be under the control of a person over 16.
The rules are straight forward. https://at.govt.nz/bus-train-ferry/luggage-bikes-animals/taking-animals-on-public-transport/ (retrieved 22/2/2022)
London
Dogs are allowed on the London train system, again with simple and reasonable restrictions.
9.15 You can take an assistance dog on our bus, Tube, tram, DLR, London Overground and Elizabeth line services. You can also take any other dog or inoffensive animal on these services, unless there is a good reason for us to refuse it (such as if the animal seems dangerous or not properly controlled). You must keep it under control on a lead or in a suitable container and must
not allow it on a seat.
This information is from the Transport For London Conditions of Carriage regulation.https://content.tfl.gov.uk/tfl-conditions-of-carriage.pdf (retrieved 10/07/2023)
Europe
Dogs and pets are allowed on many train and other transport services in Europe. In some cases they can travel for free, in others for a child fare.
The regulations for dogs are much the same in that they must be on a leash, under control and any mess is cleaned up. Larger dogs are often required to be muzzled.
The travel website Rail Europe has a summary of pets on many train services in Europe. See the link below:
https://www.raileurope.com/en/blog/pets-on-trains (retrieved 19/2/2022)