The UK has plenty of live TV streaming services, and they have one big difference from the US ones.
While most US streaming services are paid, in the UK they're free to use (as long as you pay your annual license fee).
You can use iPlayer for BBC, ITVX for ITV, All 4 for Channel 4, My5 for channel 5 and so on. These services are both VOD and live TV services, offering libraries and live TV to pick between.