Yes, in her early days the Queen Elizabeth 2 had more than her fair share of mechanical problems but they were eventually sorted out and she sailed for a very long time, trouble free.
As for beauty, for me she never ranked that highly. She was lovely, externally, when brand new but those truly good looks did not last long and yes, there were many other liners that were more than her equal. Apart from a passing reference to Saga Rose, the ships that I mentioned are still sailing - just!