There are many real time weather and precipitation radar web services for the US and a few other countries, but not so many for Europe, Africa, and the Middle East.
Attached is an .mxb project that contains a really nice WMS data source I found, with many useful layers. The map in the project uses three as examples:
As described in http://oiswww.eumetsat.org/IPPS/html/MSG/PRODUCTS/
_mpe - multi-sensor precipitation estimate - useful for precipitation. Extends to the East beyond most other layers.
_cth - cloud top height
As described in http://oiswww.eumetsat.org/IPPS/html/MSG/RGB/
_microphysics - composite RGB useful for cloud analysis.
_natural - a more or less natural look. Water clouds (not snow or ice) appear whitish.
I've been using the _mpe layer over the _natural layer, to get an impression of precipitation over cloud cover.
PS: I'm still looking for real-time weather radar coverage in Europe and Asia. Also, it would be great to find something like eumetsat web services for Asia, Oz, etc. Any leads?