I've dug out the LDD application I found on an older hard drive.
It seems however, that it has problems rendering the bricks and models:
I am running LDD 4.3.8 on Windows7 Ultimate (64Bit) with Administrative Priviledges. I have DirectX 11 installed and I am using the newest NVidia drivers. I am also pretty sure, that LDD has run previously on this machine (though I am not quite sure, which version it was at that point of time....)
Does someone know, how to fix this problem?
Edit: I think the problem lies in my 'db.lif' file. It would be nice, if someone has a working database file for me to download...