Some breeds of rabbits are shown only when they are young. Once they get older or have a litter, they just don't have the same flesh condition. English angoras are generally competitive only until their first coat is removed; subsequent wool is never quite the same texture. Tans tend to have a very short show career, as they lose the "racy" body type as they get older (don't we all become a bit less "racy" with age?).
But some breeds like Fuzzy Lops and Holland Lops, can be shown for several years. In fact, the bucks often aren't competitive seniors until they are at least 1.5 - 2 years old; it takes that long to get a great head on a buck.
Here is a picture of me, Judge Brooke and my doe, AK's Faith after she won Best In Show at Santa Rosa, CA in October 2007. Faith was about 8 mo old and looking very pretty (note she doesn't seem to care much for being held and posing for a camera).
And here we are again, Faith and I with Judge Doug K in Watsonville, CA, yesterday. Faith hadn't attended a show for at least 1 year. I thought she looked good sitting in her cage, so I entered her. Good move....Faith was selected Reserve Best in Show. (note same cranky look on her face, while I look just a bit older with longer hair.).
Here is Faith in a better mood sitting in the sun today. Thanks old girl, keep up the good work!