How can I recover messages I lost because I broke my old phone?
Is it a Android phone from which you have lost your text messages?
If "Yes" then you have several options through which you can easily restore your lost, inaccessible or deleted text messages from broken android phone. Find out the solutions mentioned here - http://www.androiddata-recovery.com/blog/android-phonetablet-broken-screen-data-recovery
For direct and recommended solution check out - How To Recover Text Messages from Broken Android!