Little Pete's forearm tattoo, Petunia, is important enough to get her own identification ("and Petunia") in the opening credits for the show. Apparently, Petunia likes to travel. In early episodes, she is on Pete's left arm, in later episodes on his right arm. In the opening credit sequence, during her main appearance she's on his left arm, and in the very next shot, when Pete and Pete are walking toward the camera with a sunset in the background, she's on his right.
In the introduction of the show, Mark Mulcahy is wearing a gray vest. In the next shot, the vest is gone and he is only wearing a shirt. The vest switches on and off numerous times.
In Big Pete's narration regarding Eisenhower, he claims he was the 35th president, when he was actually the 34th.