If the London Underground counts, then there are loads of answers. Paddington to Baker Street, Paddington to Liverpool Street, Paddington to Embankment...
I'm going to differ - I don't think those fit the three way specification for example ...
Paddington to Embankment - Bakerloo line (next stop Edgware Road) or Circle line (next stop Bayswater). The circle le in the other direction now terminates at Edgware Road - so no third route, even if you had sorted out issues about Edgware Road being two separate stations (so Bakerloo and Circle counted as two routes), whereas Paddington is just one station.