I would like to write a container class in a style which fits very neatly into STL. It should look and behave as if it where a standard STL container.
Is there a man
I recommend reading Herb Sutter's "Unstrung". It's an in-depth look at std::string, covering what went right and what could've been done better. I highly value his opinion on C++ programming matters. It's a long read, but I guarantee you'll learn a few useful things about writing classes in the style of the C++ standard library (and about writing classes in general).
You could also take a look at Scott Meyers' Effective STL. That book will give you a good overview of the expectations levied on the users of standard library containers. Having that insight will help you write better container classes yourself.