If the UK did at some point in the future think it was crucial to be able to refuel those other aircraft you mentioned, it could always consider adding a boom to some of the A330 MRTT's (as per the RAAF's KC-30A's).
It may never happen of course, but I suppose anything is possible.
Meh, I've got a link which plots radius curves onto a map and I was just jotting down a few planes in the tougher points for us. If we want straight line distance, we've got key areas covered, then various NATO agreements and Cyprus for the ME/Africa (the latter seeing more troops these days, first Mali and now the CAR)
e.g An C-17 unrefuelled can carry 100,000lbs from the UK to Ascension Island, refuel, then from Ascension Island to the Falklands.
Basically, the RAF with it's strategic assets can cover the vast majority of the areas it would get involved in. By and large, our tanker force is tailored towards supporting our fighters and strike aircraft.
Then I hate saying this, but for the majority of scenarios we're going to be involved in, the US will be there for us to borrow their KC-135's. We've already got agreements in place to fuel our E-3D's and working on our RC-135's i think. This doesn't impact our PFI with AirTanker as the US is supplying a service which could be offered by the MRTT so we don't have to fork out for that too.
Basically, the most logistically challenging deployment we would make would realistically be to the Falklands. So I tend to use that as my yardstick (including a couple other assumptions) as to if our strategic assets are capable.