It's a little odd that he recommends Loebs for Cicero and Aeschylus. They have Greek/Latin on one side and English on the other. The translations vary in quality and they are significantly more expensive than buying an English-only translation. I have a bunch of Loebs but I studied Classics and can read Greek and Latin. I would never recommend them to a friend.

Edit: Just wanted to add that Aeschylus, Euripedes, and Sophicles are great reads. You can read a whole play in one sitting. If I could recommend one from each it would be Agamemnon, The Bacchae, and Antigone. Each of those plays deeply affected me and they're fairly accessible.