Metrolink Southern California ticket works for free local transit on most area transit systems
There is a chip/QR code embedded in the ticket, allowing it to be scanned for free local transit on most area systems in the participating counties in the Metrolink system, including LA's rail system.
In London, the London Overground railroad passenger system is integrated fare-wise with the London Underground subway system so that both systems count towards the daily £7 cap on fare costs. That makes for £210/month for unlimited rail transit. Bus costs extra. But the Travelcard is a bit more expensive, but includes bus and tram services too.
In the DC area, there is no integrated fare media system for local transit and regional railroad passenger service.
-- "One big idea: Getting MARC and Metrorail to integrate fares, stations, and marketing systems, using London Overground as an example," 2015
-- "The answer is: Create a single multi-state/regional multi-modal transit planning, management, and operations authority association," 2017