Judy Robinson is wanted in a beauty contest.
The fourth last episode in screening order but the second last episode in production order. Which means the famed "talking carrot episode" was not the second last filmed adventure as many people think.
In production order, Junkyard Of Space was the last episode, but as that tale was a bit average, I personally think Space Beauty would have been a better show to end the series on.
Space Beauty is a campy episode but there is good LIS camp and there is bad LIS camp. The bad LIS camp was often found in the second half of season two. In Space Beauty, the humour mostly comes from the Leonard Stone performance as Mr Farnum - he is outstanding! So good in fact that, after watching this, it will be a struggle to take him seriously in any other role (for example his performance in 1973's Soylent Green).
Also, Marta Kristen (Judy) finally gets something to do.
Lastly, the Mullendore musical score perfectly captures the light fantastic nature of the hour. See also his score for LIS's The Haunted Lighthouse.
Basically, if you want the straight adventure of season one - stay clear of this hour! But if you want a wonderfully scored hour with a villain who behaves like he just walked out of the 1966 Batman set...you will get a blast from Space Beauty!