iTunes crashes quickly after opening, every time
I realize this is quite an old question but I encountered this issue myself and managed to solve it, so I'm answering in case it helps someone (maybe even the OP). I am on Windows machine but perhaps it's the same solution on Mac as well(in some cases).

First I narrowed down the problem to be related to the internet connection. I disconnected from the internet and the crash no longer occurred when having internet connection.

I updated the network and chipset drivers (as this article explained) but the crash still occurred. 

Ultimately, I connected to a wireless hotspot only to see the crash no longer happens, so I understood that the problem was the way I connected to the internet.

Since I was behind a corporate proxy, changing the proxy server fixed the issue