Hard one, with few street names based on Greek alphabet, nothing that could be famous... Jack Elam acted in 'Easy Street' which seemed a possible solution to another clue, and EZ can be in Greek alphabet (not directly) although there is no satisfactory solution yet. Another solution points to 'Baker Street' (Home of famous 'Private' detective Sherlock Holmes). The letters 'Baker' is found within 'Greek Alphabet',pointing to keyword as 'Private'