If you want good answers to these kinds of questions, it really helps to narrow down exactly when you're talking about! Medieval Europe was a rich tapestry of variety and regional difference even within individual countries, never mind across the continent. What's more, even in those regions massive changes over time took place.

For what it's worth, daily happenings I think is too much of a stretch, but general events do seem to have concerned non-nobility at least in the locale of the capital in late 14th century England. The Peasant's Revolt was interestingly very much targeted at specific councillors of the king such as Earl Marshal and his prison- different policies clearly were attributed to specific people around the king, and the concern voiced by the peasants was not that the King was bad, but that he had treacherous people around him. This implies a fascinating level of acquaintance with court politics and that kind of thing, at least in Kent, East Anglia, and Essex from where the Revolt was mostly sourced.