The bbc does propaganda of three main types.
Soft promotion of UK. Calling things "great british etc", travelogues, like coast, or britains favourite landmarks and coverage of royal events. These are arguably part of its remit. The choice of topics could be viewed as political though.
Political reporting. They tend to give the incumbent party an easier ride for self preservation. This takes the form of less criticism during interviews but more significantly in the choice of topic.
Planted stories. Months before saddam's wmds became news, but after we'd followed dubya to afghanistan, the beeb did a documentary about the Iranian Embassy seige. This was the first time ex SAS had been allowed to talk publicly about operations. About every 10 minutes they showed Saddam looking military and ststed that he sponsored terrorism.
Now there is a serving policeman involved in a documentary reporting, as fact, details about a case which hasn't yet come to court. It's ok though Russians are baddies.
These are good tv entertainment but i imagine access to sources comes with some editorial control as a condition.