My perspective from about 8 years showing rabbits:
Well known lines are obvious, however most of the time the judges are being honest. I bought from three local big time breeders and three nationally known breeders and I would get winner when I bred rabbits from the same lines together but not if I crossed them. The reason wasn't that the animals weren't recognized as a certain line but because in the cross a balance was lost. Over the last couple of years I have attuned my eye to seeing the balance of all the traits and now have my own recognizable line. While it is my line, the oldtime breeder can still see traits from their lines and often even know what breeding I did to create an animal.
The second big thing is that each judge does the job differently. The judges who are considered to be the best look at the animal's type first and then differentiate the best body typed animals by how pretty the package is. There are also the "literal judges", the ones who try to use the points break down in the SOP and deducting partial points for minor flaws. These are the most erratic judges because there is no way to say how much one shade of color, a slight wavy marking or difference in fur texture should cost in a deduction. And my third category of judges is the "fetish judge". This judge looks at one thing to determine their winning animals and then sort out the rest in one of the previous fashions. These judges usually raise a breed or types of breeds that have this thing as a high importance in the SOP and they can't see past that in breeds where it is considered to be of low importance.
Then these sets of judges can be separated into two more categories. There are the old fashioned judges who interpret of the SOP for the breed they way the animals were at the time it was written and there are the "current judges" who follow the new fashions and look for more extreme animals (see the Bulldog for a great example of this).
So get involved with the show people and learn what is going on with the breed(s) that you are interested in (don't dilute yourself, you can only do one or two breeds really well unless you are rich and hire a barn manager and maintenance people. Even then you can't be sure that your animals will be in peak condition come show time). Then take notes on all the judges and when you are going to show under a new one ask the other breeders about what the judge's preferences are. The other breeders will have their own system of classifying judges but they will be able to give you some idea as to what they will be looking at so you can bring the best matching animal to the show.
But most of all, remember the judge is still an imperfect person and you are getting their opinion on what animals are better than others. You should still breed for animals that you like to look at first and for the judges second. If losing upsets you, then you need to try something less arbitrary than showing animals.
That said, there is no way I'm going to lose the online Welsummer show, mine is the best roo by far.