FullMoon

FullMoon shows you the phase of the moon for each day, as well as monthly calendars from year 9998 before the Hijra to year 9664 after the Hijra.

And it shows special events (holidays, occasions, etc) for each day of each month of the year, like Eid ul Fitr, Eid ul Adha, and 127 other events, which you can delete and edit, and you can add events of your own.

And it comes with a home screen widget, showing the moon phase and the Hijri date for the current date with the date of the next event you would want to be informed about.