At 3:19 Aphrodite addresses her horse as "Secretarius". In 1973 Secretariat won the Triple Crown of the Kentucky Derby, the Preakness, and the Belmont Stakes.
The episode's title references the TV series "Love, American Style" which aired 1969-1974.
At 23:01 Deimos says to Aphrodite "...the times they are a-changing" which is the title of a 1964 song by Bob Dylan.
At 29:15 Aphrodite says to Hephaestus "These boots were made for walking". In 1966 Nancy Sinatra's "These boots are made for walkin' " reached number 1 in the Billboard Hot 100.