I first learned of Burgertime on the television show Starcade back in the day on TBS. It was intriguing to me because at the time I could not wrap my little brain around the idea of a game where you made hamburgers and fended off sentient food products with a pepper shaker.
I did not get to actually play the arcade game until many years later at an Jim's Razorback Pizza in Fayetteville. I quite enjoyed the experience. However I had been playing Burgertime long before that, thanks to the Intellivision port of the arcade game.
I've often wondered why there was an H on Peter's hat and my research online has...not come up with anything I am afraid. Though I did learn there were quite a few games that continued Peter's adventures. Two arcade versions, Peter Pepper's Ice Cream Factory was a spin-off while Super Burger Time was an official sequel though both of these apparenty were not widely released which explains why I never knew about them. Super Burger Time's hero is Peter Pepper Jr. and this game allowed you to go with two players and had superior graphics. Another sequel was in the works, Pizza Time, but the game market crashed and it went with it.
I'd like to point out that the Burgertime arcade cabinet is being flanked by Gauntlet on the right and Satan's Hollow on the left.
Another thing I remember fondly about Burgertime is the television commercial which I've added below. That young man on a date is Scotty's nephew from Wrath of Khan by the way.