As Ramiro Hum-Sah already mentioned, string theory is a very broad topic and really the notion of minimality has to do with personal taste.
I enjoyed self-studying and solving the string theory book by Becker-Becker-Schwarz. The title is String theory and M-theory. Some people have the argument that the authors pass really quickly the basic and introductory parts to move on to recent developments. While I see their point, I still think it is a nice exposition.
The reason that I like this book so much is simple. It kind of forces the reader to take pen and paper and go through all the small details. Plus it has some of the cool developments. Combine that with the solved and the homework problems and this is really my top choice.
As a supplement to the said resource, I used the oldie but goldie Superstring Theory book by Green, Schwarz, Witten. Mainly when I wanted more intuition and a more physical explanation, or when I felt that I wanted some more to the contents of my basic book.
To be honest, I consulted some more sources, but these were the main two.
The above are of course personal choices and preferences.