COCOR is probably the best statical plugin to compare correlations. You can use it through R or the web named comparecorrelations.org
The COCOR plugin cober the most improtant analisys to compare correlations, it include the comparations of dependent or independet samples, overslapped or non overslaped correlations, among others.
If you want to know more about COCOR, you can read this paper:
Diedenhofen, B. & Musch, J. (2015). cocor: A Comprehensive Solution for the Statistical Comparison of Correlations. PLoS ONE, 10(4): e0121945. doi:10.1371/journal.pone.0121945