How to best plot a heavy vs light tailed distribution in R

I want to create a plot that overlays a heavy vs light tailed distribution as an example and am trying to figure out the best way to do this.

I can plot gamma distribution which is light tailed and a pareto, which is heavy but they are inherently different. As such, they are somewhat hard to compare? Any suggestions of what two distributions make a good picture?

Thanks!

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When you say 'distribution' do you mean density-function or distribution-function? –  Glen_b Aug 10 '14 at 23:40
I think that @whuber's answer here could also be of help. –  COOLSerdash Aug 12 '14 at 16:37

I think you are asking for 2 different distributions that share some common 'essence', but that differ in how heavy their tails are, so that when you plot them the nature of 'heavy-tailedness' can be demonstrated. Is that correct? If so, why not use the $t$ distribution with $1$ and $\infty$ degrees of freedom? Here is a plot of several $t$ distributions from the Wikipedia page: