For reference, for the last 5 presidents this would be (guessing from 1988):
1. Sitting Vice President
2. Governor of Arkansas
3. Failed congressional candidate, son of sitting VP
4. Harvard Law school student
5. Real estate mogul
For the 5 before that (guessing from 1962):
1. Sitting Vice President
2. Former vice president
3. U.S. representative
4. Peanut farmer
5. Actor
This is a fun exercise! Here's some more (sorry some of them overlap a bit with your numbers).
Current occupation of next 5 presidents in March 1979:
1. Former Governor of California, odds on favorite for 1980 GOP nomination despite not yet having declared his candidacy
2. Director of Council on Foreign Relations, former CIA Director
3. Governor of Arkansas (youngest governor in the country at 32 years old)
4. Failed Congressional candidate, son of a former CIA Director
5. Senior at Punahou School, a private prep school in Honolulu
Current occupation of next 5 presidents in March 1959:
1. Junior Senator from Massachusetts who delivered the nominating speech at the 1956 DNC
2. Senate Majority leader
3. Sitting Vice President
4. Congressman from Michigan (Just reelect to his sixth term)
5. Successful Georgia peanut farmer and Naval Reserve officer
Current Occupation of next 5 presidents in March 1939:
1. Sitting President (at this point had not indicated that he would run for a third term)
2. Junior Senator from Missouri, known stooge of Kansas City democratic party boss Tom Pendergast
3. Lieutenant Colonel in the US Army, currently stationed in the Philippines
4. Junior at Harvard College, son of the Ambassador to the United Kingdom (and a notorious "businessman")
5. Congressman from Texas (Just elected to his first full term after winning a special election in 1937)
Current Occupation of the next 5 presidents in March 1919:
1. Junior Senator from Ohio, Chairman & Keynote Speaker at 1916 RNC
2. Governor of Massachusetts (just elected the previous November)
3. Director of the American Relief Administration (which provided food aid to Europe after WWI)
4. Assistant Secretary of the Navy
5. Captain in the US army, recently returned WWI veteran
...
And just for fun the next 5 presidents in March 1999, with the last two being the most common picks in this thread:
1. Governor of Texas, son of a former president
2. Illinois State Senator (recently elected to his second term)
3. New York real estate developer, owner of Miss Universe & Miss USA beauty pageants, recurring WWE host/character
4. Deputy District Attorney in Alameda County, California
5. Sophomore at Yale University