Question:
What does one do after completing 'Alfred's Adult All-In-One Course' level 3? Does anyone know of a course that takes you from intermediate level to advanced with more or less the same approach as in Alfred's?
All I seem to find is 'for beginners' or 'Learn to play pop/jazz/...'
A 'general' course for intermediate players: does such a thing exist?
I don't want to start another debate about learning with/without a teacher. I do without, period. I've nothing against teachers, but practical circumstances prevent me from taking lessons.
Answer:
The usual thing would be to move into repertoire. By the top levels of any method, you should have all the basics mastered and not need the step-by-step direction anymore.
A teacher (not that I'm recommending one in your case) has the knowledge and resources to take you to pieces in ascending difficulty, and the knowledge to direct you in the practice and performances of the pieces chosen.
There are resources which give relative difficulty of classical repertoire; Hinson's is probably the best known.
A couple of recommendations without knowing more about your capabilities. There is a series of classical music anthologies called "Music for Millions", these are organized by difficulty and have a nice selection of pieces. Many of the pieces are used in my state's piano exams. The lowest level is "Music for Millions 17" (why 17 I don't know) and goes up (by 10s) to 77. I would guess that you are probably at a MM 27 level. The selection of pieces is very good, the books are good quality and appropriate editing.
I also recommend you look at this: http://www.editionhas.com/shop.php?category=12
These are the Henle USA folks. They have a Beethoven "method" which I have used with some adult students. Essentially it is a series of Beethoven piano works in increasing difficulty, but none too hard; when you're done with these, you are on to the sonatas. A nice collection, very reasonably priced.