I think by international standards the idea that American cities usually have trains is not right. Basically there are five urban agglomerations with useful train service in America and the other cities have one train a day (that may depart at 2am) or, usually, no trains. Can you get from Dallas to Tulsa by train? Absolutely not. But a city the population of Tulsa would have several trains per hour if it was in Switzerland or France or Japan.

The real situation is closer to "none" than "lots".