Infopath Anonymous Users

Things i have learnt from doing Forms with Anonymous Users

• You have to have a Site Collection Template of Team. Note: Publishing template will not allow Anonymous Users to submit data in ANY WAY
• Can only Submit forms through lists and using customizing form.
• Items submitted by anonymous users can’t automatically trigger workflows

This is a great post by Guru Clayton Anonymous Forms

If you don't want to use customizing form option you will have to use code in your forms. 

Use this code in your submit button:

SPSecurity.RunWithElevatedPrivileges(delegate()
{
         this.Submit();
});

Hope you enjoy