In Leeds, there is the X84/5 and the X98/99 - which are both made 'limited-stop' in order to essentially keep away passengers that are just making short journeys within the City boundary. So most stops in Leeds on outbound journeys are pick-up only, and inbound are set-down only.
There's also the 36 from Leeds to Harrogate. I'm not too sure on how it works but I saw something on their Twitter a few months ago that clarified to a customer that it was Limited Stop in Leeds and then in addition to that, doesn't set-down until just before the outer ring road. (edit: here's the source
https://twitter.com/harrogatebus/status/932948460432740352)
Think the two main advantages of this are firstly keeping the service fast (old people slowing the bus right down to get a free ride four stops down the road massively add to the journey time) and making sure the right people can get a seat on the bus - i.e. meaning the bus won't leave passengers for far out behind, when seats are being taken by people going somewhere close served by many other services.