Sasless,
you just described a great many Nimrod impromptu displays, but (and I like to see this as the KEY POINT of the Nimrod version), with Nimrods not only did you get 4 jets apparently appearing from nowhere right behind you, but you also (given sharp enough eyesight) got to see a slightly careworn individual eating a pie (possibly a doughnut) overhead as aural Armageddon overtook you.
You just don't get class acts like that on the airshow circuit these days...