Ok who does actually remember this tournament right from the start, and Im only going back to Italy '68 here by the way, when we/England were then World champions of course.
(and I also think Roma was there as a kid cheering on the Iti'es, with his little red Tykes scarf on of course lol).
In those days the eight group winners then went into a random two legged Qtr Final draw against one of the other teams, and the four winners then made it through to the 'Finals'. Unbelievably, the Finals host nation were then chosen at random between the remaining four.
The Finals just consisted of four teams in a Semi final knockout basis, and they did also play for the pointless 3rd place consolation as well, in those days.
The Euro's Finals only started to become a tournament though in '80, and for some weird reason this was also held in Italy again!.