The movie that Jethro is watching is "The Wild One" which was Marlon Brando's breakout flick. Brando rode his own 1950 Triumph Thunderbird in the movie, and the bike that Jethro rides in this episode is a 1963 Triumph T100, also known as a Tiger 100.
Jethro goes to see that 'new Marlon Brando picture' at the New Yorker Theatre. The New Yorker had other incarnations, but in 2014,it was taken over by Quentin Tarantino and is known as 'the New Beverly'
This show's copyright has expired and it is now in the public domain.