In a previous paper, we described some Siegel modular threefolds which admit a Calabi-Yau model. Using a different method we give in this paper an enlarged list of such varieties. Basic for this method is a paper of van Geemen and Nygaard. They study a variety $mathcal{X}$ that is the complete intersection of four quadrics in $mathbb{P}^7(mathbb{C})$. This is biholomorphic equivalent to the Satake compactification of $mathcal{H}_2/{Gamma}^{prime}$ for a certain subgroup ${Gamma}^{prime}{subset}Sp(2,mathbb{Z})$ and it will be the starting point of our investigation. It has been pointed out that a (projective) small resolution of this variety is a rigid Calabi-Yau manifold $ ilde{mathcal{X}}$. Then we will consider the action of quotients of modular groups on $mathcal{X}$ and study possible resolutions that admits a Calabi-Yau model in the category of complex spaces.