Both José Mourinho and Rafael Benitez came to England in the summer of 2004 to coach Chelsea and Liverpool, respectively. By that time, no one could guess that these two coaches would create such a compelling rivalry.
From 2004 to 2007, Chelsea and Liverpool faced each other 16 times. 16 intense duels where there was no love lost between two of the best managers in the world.
In the League, Mourinho was clearly better, as his Chelsea squad won five times (the first five) in seven matches.
However, Benitez stopped Mourinho from reaching the final of the Champions League twice, beating Chelsea in both the 2005 and the 2007 semifinals.
In the English Cups (FA Cup, Carling Cup and Charity Shield), they only faced three times, with Benitez getting the better of Mourinho on two of those occasions.
Overall, Mourinho won seven times, Benitez won five, and there were four draws. Mourinho's Chelsea scored 16 goals and Benitez's Liverpool scored 12.
One may argue that Chelsea had more money and thus Mourinho had better players, but Benitez did a great job and he's the one who stopped Chelsea from winning a much sought-after Champions League title.
The following are, in my opinion, the five best duels during their rivalry in England: