http://bugs.winehq.org/show_bug.cgi?id=12557
--- Comment #19 from Alexander Dorofeyev alexd4@inbox.lv 2008-04-30 15:09:17 --- BTW is there a chance you are using any direct3d registry overrides as described in http://wiki.winehq.org/UsefulRegistryKeys? Probably not, as you didn't mention it and also it works for you on nvidia, but just asking to be sure.
I've found there's a bug with RenderTargetLockMode=readtex that affects Nvidia cards and produces similar results (menu failing to render). It affects at least Thief (The Dark Project) and System Shock 2. I'll file a bug for that.
I will also try to analyze your new log.