The 'Goldberg Variations' have been a famous music piece from Johan Sebastian Bach, which has been published 1741. But here we mean Goldberg's book  about Genetic Algorithms. In the first two chapters Goldberg uses a simple example to illustrate how genetic algorithms work. We will start here also with this example, varying it a bit. After this first example, we will present some more examples (N-Queens problem, Knapsack problem, Traveling Salesman etc.). One of these examples should be an example showing how a genetic algorithm can compose music, even like Bach. This example will be developed more and more using afterwards not only classical GAs but also classifier systems and more advanced structures.