Yes, but most Muslim countries don't enforce Shariah law. No seriously, this is from Saudi Arabia, a Saudi actress in a Saudi film festival:

Also, FYI I'm not a Muslim.
In India, Egypt, Saudi Arabia, and Iran to name just a few places that I have seen it happen with my own eyes. Rapes and killings are less common, but there are plenty of instances throughout history.
Cite sources, bring up numbers, and then prove they are more because of Islam. So far, you are just posting noise. In Saudi Arabia it is safe to go out at night alone as a woman. This is not true for many rich and developed western countries.