This morning a question assault to me: Manhattan Project or Project Manhattan? If you make the search in Wikipedia, there is not different: you get the same post. So, is crystal clear: the answer is the first form.
In possessive case, is similar: The Alan Parsons Project.
I found a ¿mkt exception?: Project Oberon: The Design of an Operating System and Compiler (ACM Press Books) by Niklaus Wirth.