Food delivery is very synonymous to pizza home delivery. It goes back to as long as late 19th century when the first pizza was delivered in Italy. The evolution of food delivery has slowly and steadily moved up notches. In 2001 Pizza hut even managed to send a pizza to the space.
The next big bang moment which happened for the food / restaurant industry is the online ordering service. It was in 1995, the first online order service was started (in USA) : world wide waiter, now known as waiter.com. At that time they used to deliver food from approx 60 restaurants in Silicon Valley.