- 6244 in the Ancient Egyptian calendar
- 5769 in the Hebrew calendar
- 5122 in the Maya calendar
- 5106 in one of the Hindu calendars (there are 30 different systems)
- 4706 in the Chinese calendar – the year of the Ox in Chinese astrology
- 1430 in the Islamic or Hijri calendar
- 163 in the Bahá'í calendar
Yes, there are many calendar systems used in the modern world. But if we try to group them in a logical manner, we find that basically there are two types of contemporary calendar systems in use: the Lunar calendar, like the Islamic calendar and the Solar calendar like the Gregorian calendar used all over the Western world.
Lunar calendars are the most ancient ones. These were used by the Cro-Magnon human ancestors about 35 000 years ago.
The Mayas in pre-Columbian Mesoamerica had a fascinatingly accurate and complex calendar system of Venus-cycles, 365-day Haab or solar calendar and the Tzolk'in or 260 day calendar. The popular version that the world will end catastrophically on October 12th 2012 according to the Maya calendar is nonsense. They even have distance dates like October 21st 4772 A.D. on their calendar.
The Dogon people living in Bandiagara and Douentza in Mali, West Africa use a calendar based on a fifty year cycle, which is the time the star Sirius B takes to circle the primary star Sirius A every 49.9 - or 50 years.