A leap year starting on Saturday is any year with 366 days (i.e. it includes 29 February) that begins on Saturday, 1 January, and ends on Sunday, 31 December. Its dominical letters hence are BA. The most recent year of such kind was 2000 and the next one will be 2028 in the Gregorian calendar or, likewise 2012 and 2040 in the obsolescent Julian calendar. In the Gregorian calendar, years divisible by 400 are always leap years starting on Saturday.  The most recent such occurrence was 2000 and the next one will be 2400, see below for more.

Any leap year that starts on Tuesday, Friday or Saturday has only one Friday the 13th: the only one in this leap year occurs in October. Common years starting on Sunday share this characteristic, but also have another in January. From August of the common year preceding that year until October in this type of year is also the longest period (14 months) that occurs without a Friday the 13th. Common years starting on Tuesday share this characteristic, from July of the year that precedes it to September in that type of year.

This is the only type of year in which all dates (except 29 February) fall on their respective weekdays the minimal 56 times in the 400 year Gregorian Calendar cycle. Additionally, these types of years are the only ones which contain 54 different calendar weeks (2 partial, 52 in full) in areas of the world where Sunday is considered the first day of the week, and also the only type of year to contain 53 full weekends.

Calendars

Applicable years

Gregorian Calendar 
Leap years that begin on Saturday, along with those starting on Monday and Thursday, occur least frequently: 13 out of 97 (≈ 13.402%) total leap years in a 400-year cycle of the Gregorian calendar. Their overall occurrence is thus 3.25% (13 out of 400).

400 year cycle

century 1:  028, 056, 084

century 2:  124, 152, 180

century 3:  220, 248, 276

century 4:  316, 344, 372, 400

Julian Calendar 
Like all leap year types, the one starting with 1 January on a Saturday occurs exactly once in a 28-year cycle in the Julian calendar, i.e. in 3.57% of years. As the Julian calendar repeats after 28 years that means it will also repeat after 700 years, i.e. 25 cycles. The year's position in the cycle is given by the formula ((year + 8) mod 28) + 1).

Holidays

International 
 Valentine's Day falls on a Monday
 The leap day (February 29) falls on a Tuesday
 World Day for Grandparents and the Elderly falls on July 23
 Halloween falls on a Tuesday
 Christmas Day falls on a Monday

Roman Catholic Solemnities 
 Epiphany falls on a Thursday
 Candlemas falls on a Wednesday
 Saint Joseph's Day falls on a Sunday
 The Annunciation of Jesus falls on a Saturday
 The Nativity of John the Baptist falls on a Saturday
 The Solemnity of Saints Peter and Paul falls on a Thursday
 The Transfiguration of Jesus falls on a Sunday
 The Assumption of Mary falls on a Tuesday
 The Exaltation of the Holy Cross falls on a Thursday
 All Saints' Day falls on a Wednesday
 All Souls' Day falls on a Thursday
 The Feast of Christ the King falls on its latest possible date, November 26 (or on October 29 in versions of the calendar between 1925 and 1962)
 The First Sunday of Advent falls on its latest possible date, December 3
 The Immaculate Conception falls on a Friday
 Gaudete Sunday falls on its latest possible date, December 17
 Rorate Sunday falls on its latest possible date, December 24

Australia and New Zealand 
 Australia Day falls on a Wednesday
 Waitangi Day falls on a Sunday
 Daylight saving ends on April 2
 ANZAC Day falls on a Tuesday
 Mother's Day falls on its latest possible date, May 14
 Father's Day falls on September 3
 Daylight saving begins on its earliest possible date, September 24 in New Zealand and October 1 in Australia

British Isles 
 Saint David's Day falls on a Wednesday
 Mother's Day falls on March 5, March 12, March 19, March 26 or April 2
 Daylight saving begins on March 26
 Saint Patrick's Day falls on a Friday
 Saint George's Day falls on a Sunday
 Father's Day falls on June 18
 Orangeman's Day falls on a Wednesday
 Daylight saving ends on October 29
 Guy Fawkes Night falls on a Sunday
 Saint Andrew's Day falls on a Thursday

Canada 
 Daylight saving begins on March 12
 Mother's Day falls on its latest possible date, May 14
 Victoria Day falls on May 22
 Father's Day falls on June 18
 Canada Day falls on a Saturday
 Labour Day falls on September 4
 Thanksgiving Day falls on October 9
 Daylight saving ends on October 5

United States 
 Martin Luther King Jr. Day falls on January 17
 President's Day falls on its latest possible date, February 21
 Daylight saving begins on March 12
 Mother's Day falls on its latest possible date,May 14
 Memorial Day falls on May 29
 Father's Day falls on June 18
 Juneteenth falls on a Monday
 Independence Day falls on a Tuesday
 Labor Day falls on September 4
 Grandparents' Day falls on September 10
 Columbus Day falls on October 9
 Daylight saving ends on November 5
 Election Day falls on November 7
 Thanksgiving Day falls on November 23

References

Gregorian calendar
Julian calendar
Saturday