The Beacon Diner is where the Smith family reconnects with civilization after losing their memories on another island in "Gold Top Nuts".
When the family survives a plane crash and washes ashore on a deserted island, they lose their memories. Finding a combination TV/VCR that only contains a commercial for Gold Top Nuts, they tried to piece together the world based on their island lighthouse and the commercial. When their TV is destroyed by a magnetic rock that Stan finds, they decide to leave their island and spread the word of their discoveries. They immediately find another lighthouse, which turns out to be the Beacon Diner. Away from there original island and the magnetic rocks that caused their memory loss, their memories are restored and they realize too late how foolish they appear.