The 1537 edition of the Matthew’s Bible is on Bibles-Online.net. However, this site uses Adobe Flash, which does not work with iPhones and iPads. Moreover, newer versions of Chrome automatically block Adobe Flash, although you can unblock it. Also, Adobe will stop supporting Flash at the end of 2020. Bibles-Online.net says, “we are working toward migrating the website to another software platform.” The Story of the Bible will monitor this after the end of 2020.
You can see the Matthew's Bible online or download a PDF here.