I don't think there really is a 'global' answer to this, as it really depends on your personal circumstances. Where you live, for example, is quite important regardless of the country you are in.
Personally, I don't feel more or less safe here than I did in the UK, although we have had more experiences with crime (theft and vandalism) here than there. Statistically, there is more violence against women and children (domestic violence) here than in other countries. Because this is mainly significantly more in certain ethnic groups, I suppose you could argue that as long as you are some shade of white, you'll be fine.
There are areas of London that I avoided after dark, and there are areas of Auckland that I avoid after dark. I lock my house and car in both places. Whatever the ranking of those two countries on the global peace index, it doesn't seem to translate into a tangible difference in my everyday life.