Oh, that's just interlacing. Its not a problem, a glitch, or a bug, but rather the way that video works. If you are working with still images such as that, its best to set up a progressive project, rather than interlaced. Also, it looks like you may have the "Retain alpha channel" box activated in the render settings, which should generally be avoided unless you intend to do your final compositing in another application.
If you view that video on a television screen, the lines through the effects will not be visible. If you need to keep the project interlaced (if you are using DV footage, for example), but when it is completed wish to show it via the internet or a computer monitor, then the project should be de-interlaced as the final step.
More information about de-interlacing can be found at www.100fps.com