The NLTK is perfectly well suited to working with Greek. It doesn't come with any resources trained on Greek, but it provides interfaces for linking and using any resources you do have, and for using them to train your own tools.
You don't need Greek-specific tutorials: You can train NLTK tools for Greek just like you'd train it for any European language that contains accented characters, namely: Specify the appropriate encoding when reading in the corpus, then proceed just like you would for English. Take a look at the NLTK book's materials on classification, and at the source for the named entity recognizer (which is statistical, not rule-based).
Alexis