Hi, a friend of mine composed a list of nearly 150 open product and business internships at top companies like Google, Facebook, and Microsoft. I thought you might find it helpful :)
I highly recommend bookmarking this internship-list if you are in the market and checking out all the resources Product Alliance has to offer! They have a world-class team of PMs making industry leading product management courses and other professional resources. They have a open full-time jobs list as well plus several great courses.
Hope you find this job list helpful :)