According to India's National civil calendar, today starts the month of Shraavan.
In the Hebrew calendar, we are in the month of Av.
On the Islamic calendar, we are in the month of SHa`baan.
Keith's Moon Page has a list of Full Moon Names that include: Native American, Chinese, New Guinean Colonial American, English Medieval and Neo-Pagan. Sadly, he lists the full moon names by months, when we know most of the cultures did not date them that way. The Crystal Forest monthly moon name suffers from the same dating problem. I still love to see all of the different names together.
English Medieval: Corn Moon
Celtic: Dispute Moon
Colonial American: Dog Day's Moon
Native American (Cherokee): Harvest Moon
Native American (Choctaw): Women's Moon
Native American (Dakotah Sioux): Moon When All Things Ripen
Neo Pagan: Lightening Moon