This page explains in detail the interactions between the Donkey Kong series and the F-1 Race series.
F-1 Race (Game Boy)[]

November 9, 1990
After winnning each course, a Nintendo character shows up to greet the pilot, right before the start of the next course. Between course 8 and course 9 there's Donkey Kong (see F-1 Race cameos for other cameos).
License[]
Copyrights for both series are held by Nintendo.