Could not confirm the bug on linux and this is really vague information provided.

Which exact version (if it's svn version, which revision) you're using? Which operation system? And does the issue happen with builds from http://builder.blender.org/download/ ?

I can confirm the issue, just loading this file and doing OpenGL animation render. Build from latest svn on OS X.

The problem is the way the noise texture works, it's kind of animated because the noise texture gives a different results on each frame, but the dependency graph doesn't recognise this. Actually the way it uses BLI_rand() is not even thread safe for rendering.

Fix in svn, thanks for the report.

Note that the random texture is really random, that is it may not give you the same results when you render the same animation twice.