I teach from Dr. Glenn Balfour’s textbook A Step-by-Step Introduction to New Testament Greek. This is an excellent resource both for those with no background in languages, as well as those wanting a proper academic understanding of the subject. He explains all English grammar along the way in an introductory fashion, but also teaches Greek grammar with its precise linguistic terminology. Another benefit of this textbook is the constant attempt to use as many examples from the original text as possible, so that one can begin to get to know the New Testament in its original language from the start. For overseas students who prefer working from American English, or those wanting to learn at a different level (perhaps younger students, or those seeking a tutor alongside a course already using another book), other textbooks could be used.
Dr. Balfour has also written a Hebrew textbook, A Step-by-Step Introduction to Biblical Hebrew, which would be my preferred text for Hebrew students; but again, if one would like to learn from a different textbook that might be possible, depending on the situation and the book in question. For Latin I use Wheelock’s Latin, the most common Latin textbook, not too far removed in style from Balfour’s textbooks. The most recent edition is the seventh, and it has a website here: http://wheelockslatin.com/. A similar book for Classical Greek is Anne H. Groton’s From Alpha to Omega, currently in its fourth edition. Another option for Classical Greek, specifically Attic, is C. W. Shelmerdine’s textbook Introduction to Greek: Second Edition.
The New Testament Greek and Biblical Hebrew textbooks are not currently available online, though they do occasionally appear second hand, and the author assures me they will be available online again soon. For the moment they can be acquired through me, for £20 plus shipping.
For the Greek New Testament text the best version is currently Novum Testamentum Graece, edited by Nestle-Aland, currently in its 28th edition; this text is nearly identical to the UBS5 Greek New Testament, which is also acceptable. They can both occasionally be found with an appended dictionary. At a more advanced stage, two more useful tools are William Mounce’s Analytical Lexicon to the Greek New Testament, and The New Greek-English Interlinear New Testament; but these are not recommended for beginner use, as they make it far too easy to cheat!
There is a practically endless amount of tools available for learning all four of these ancient languages; if you have any questions about any of them, and the suitability of using them while learning from me, please do not hesitate to ask! There are also tools available on this website, in the Blogs section, where I post some of the handouts I use, as well as some musings on Greek grammar.