One option is to browse some major university websites for commonly used textbooks and pick one that's appropriate for your level (in terms of math/econ background) and seems interesting. Some common choices are Krugman & Wells and books by Mankiw. Textbooks are drier than popular books, but they are clearer and more rigorous, and you have some assurance that any reputable one will attempt to present a balanced, mainstream view rather than pushing a personal agenda.
Another option that is a bit more expensive but may be a lot more enjoyable is getting some DVDs from the Teaching Company. They get what are usually very good lecturers to give their courses, and
seem to be the kinds of things you're looking for. I haven't watched these, but maybe worth a shot.
(Regarding some of the other suggestions: blogs are ok, but the more econ-heavy ones will assume some degree of familiarity with economic concepts, and will post on random topics in no particular order, so they don't really solve this problem. Non-mainstream books or famous monographs are also ok at some point, but as with all such things, it's generally best to at least understand the basic mainstream stuff first.)
Another option that is a bit more expensive but may be a lot more enjoyable is getting some DVDs from the Teaching Company. They get what are usually very good lecturers to give their courses, and
http://www.teach12.com/ttcx/coursedesclong2.aspx?cid=550 http://www.teach12.com/ttcx/coursedesclong2.aspx?cid=5610
seem to be the kinds of things you're looking for. I haven't watched these, but maybe worth a shot.
(Regarding some of the other suggestions: blogs are ok, but the more econ-heavy ones will assume some degree of familiarity with economic concepts, and will post on random topics in no particular order, so they don't really solve this problem. Non-mainstream books or famous monographs are also ok at some point, but as with all such things, it's generally best to at least understand the basic mainstream stuff first.)