The whole WWE-styled dramatic draws are not only that but fairly rigged. Why can't UEFA just follow the World Cup format à la winner of Group A faces runners-up of Group B and so on and so forth. If the said clubs come from the same country, you could skip a group—winner of group A vs runners-up Group C and vice-versa.
Now, this would ensure some exciting match-ups. But, it wouldn't stage the UCL for high-profile matches at the latter stages and it wouldn't always throw up repetitive fixtures.
Thoughts?