There is a wonderful website, http://www.greekmidi.com , which has all you want. It has English menus and index as well, and it contains precisely the sort of tunes that all Greeks would recognise. Clearly, some are more popular than others, so if you have a listen and choose a few that you like, PM me and I will tell you which are the most popular of your selection.

George Papavgeris (the site is not mine, the name is a coincidence)