Can we rank engines?

We seem to have problems ranking which aircraft is generally superior to one another but what about the engines that power them? Can we be less biased about their engines?

J79 vs R-11/R13

F-110 vs AL-31

RD-33 vs F-404

F119 vs AL-41

I picked ones that were in the same general catagory. Can we at all on the best qualities of each compared to the other? If you could,would you swap one for the other in their respective aircraft?

Any others?