In this article we study the problem to determine all occurring Betti diagrams of varieties $X{subset}mathbb{P}^r$ of almost minimal degree, i.e. deg(X) = codim(X; $mathbb{P}^r$)+2. We describe a realistic picture of how many different kind of Betti diagrams exist at all (Theorem 3.1). By means of the computer algebra system "SINGULAR", we obtain a complete list of all occurring Betti diagrams in the cases where codim$(X,mathbb{P}^r){leq}8$.