<p>Does any one know of an API that would allow me to draw something like this. It would need some interactivity to it</p>

<ul>
<li>zooming</li>
<li>change second dimension axis angle</li>
</ul>

<p>I was looking at <a href="http://www.jfree.org/jfreechart/" rel="nofollow noreferrer">JFreeChart</a> but I don't see any example of doing 2D overlap chart. </p>

<p>Thanks</p>

<p><a href="https://i.stack.imgur.com/Jb0V3.png" rel="nofollow noreferrer"><img src="https://i.stack.imgur.com/Jb0V3.png" alt="alt text"></a></p>

May be
Chart3D
might be what you are after (not free though)
A more simple and free solution might be a
SpiceChart 3D line
.