You could go ro the ADGA site and look up which goats have long standing records for your breed. I tried googling famous goats but the only other one that came up was the "Puck Goat" and that is a different goat every year.
One of the Armed Services I think the Navy, has a football mascot that's a goat. What about that goat that appeared on the AFLAC ads? There are some beautiful goat sculptures from ancient cultures. I bet a check of goat cheese on a search engine will turn up some goat pictures as trademarks. I vaguely remember a very early cartoon that had a goat character in it- like something early Mickey Mouse.