Every member of the family has their own subplot in this episode.
One of the shops in the mall is called "Forever 31", a spoof to American chain of clothing retailers "Forever 21"
Newspaper Headline gag, " Tantric Sex Conference Ends Prematurely "
When Stan shows the family the robot frog he purchased, he is actually speaking the mainland dialect of Mandarin Chinese to it, not Taiwanese dialect as he claims.
Steve is breaking the fourth wall when he says they 'widen to reveal...'. The camera does this motion to show Stan returning from his shopping spree.