The other 'OxBridge' university - Cambridge - also has something to offer public life. The 'Cambridge Footlights':
https://en.wikipedia.org/wiki/Footlights
So every funny comedian on the BBC graduated from Cambridge going via this am-dram society.
You have to choose one's parents quite carefully. Mine were not pushing me to do PPE at Oxford, my friend's parent's knew exactly what they were doing, they had their son lined up for an upper middle class wealthy life from the start.