morethanpotato, what A-levels would you be talking about?
My dd is doing A-levels in history, English literature and drama, and I don't recognise any of that.
In history, she will be given extracts from various sources (Parliament speeches, private letters etc) and asked to analyse them as evidence of contemporary attitudes to a certain question, or to answer some other set question. It's very similar to what undergraduates do.
In English she is analysing texts. The last one I saw was "discuss whether Much Ado About Nothing has a happy ending". This clearly had to be done with direct referencing of the text, analysis of the different characters and their relationship to each other, and a clear discussion as to what you understand by a happy ending. Again, very similar to what my undergraduates are doing.
For drama, the last task was for her and the rest of the group to choose a method and a play which they direct and rehearse according to their chosen method, explaining exactly what they have done and why. This process also involves organising themselves as a group, deciding on session times and booking a room.
I don't see much regurgitating in this. Obviously by the time she gets to her history exam she will also have to have memorised the facts so that she can build her arguments on them. But the teacher is not going to supply her with those arguments.