I'll take a stab at a dystopian list -- with the understanding that this isn't exactly "plausible"
33. Harry Truman (D-MO), 1945-1949
Disliked at the time, history would come to remember Truman was one of the best presidents (at least by comparison) of the last 80 years.
34. Strom Thurmond (DX-SC), 1949-1953
Thanks to a strong run from Henry Wallace, Storm Thurmond was able to make a strong enough run at the presidency that the election was thrown to the House, where Republicans made a deal with Southern Democrats to elect Strom Thurmond and Earl Warren. As president, Thurmond was a radical segregationist and refused to intervene in the Race Riots of 1951.
35. Robert Taft (R-OH), 1953
Robert Taft was in office for just 7 months and made little impact on history.
36. Richard Nixon (R-CA), 1953-1957
Richard Nixon came to power upon the death of President Robert Taft. He stalled efforts to pass civil rights legislation and made the first serious commitment of American military personnel to Vietnam.
37. Orval Faubus (D-AR), 1957-1962
Orval Faubus won the Democratic nomination as the Democratic Party continued to drift toward Southern politicians, stoking the fears of Southern whites and broadening the message to attract blue collar white voters in the Midwest. Faubus was elected in 1956, narrowly defeating Richard Nixon, and then reelected in 1960.
38. Gaylord Nelson (D-WI), 1962-1965
Gaylord Nelson's morals may have been in the right place, but his efforts failed dramatically. Unable to get civil rights legislation through the Congress, Nelson was humiliated at the Democratic convention when the party turned instead to Senate Leader Lyndon Johnson, who went on to lose the general election to Barry Goldwater.
39. Barry Goldwater (R-AZ), 1965-1973
Barry Goldwater may have presided over economic prosperity in his first term, but his second term was marred by the heightened ground operations in Vietnam and Cambodia. He left office deeply unpopular, and his veto of the modest Civil Rights Act of 1972 is a stain on his legacy.
40. George Wallace (D-AL), 1973-1977
Enough said, I feel like.
41. Richard Nixon (R-CA), 1977-1981
President Richard Nixon returned to office in 1976, appealing to the moderate instincts of voters who felt civil rights legislation was due. His signing of the Civil Rights Act of 1978 was transformational to American society. But he expended all his political capital on it, and his legacy was marred by his decision to choose John Connally as his successor.
42. John Connally (R-TX), 1981-1987
John Connally's presidency was off to a great start - if you were of a nationalist mindset. His invasion and occupation of Panama to "save the Canal" won much favor with the American people. A booming economy brought him a landslide reelection, but his political legacy was badly damaged by the Willard Affair, when his White House Chief of Staff was convicted of taking bribes (named after the hotel where the bribe was made). Connally was eventually impeached and removed from office for perjury and obstruction of justice when he denied knowing about the bribe and tried to hinder the investigation.
43. Donald Rumsfeld (R-IL), 1987-1989
Donald Rumsfeld's ascendancy to the presidency came quickly after the Willard Affair. He did little to repair a fractured nation and his lack of meaningful legislative achievements is a blight on his record. He's most known for the invasion of Grenada - an attempt to curry national favor just before the 1988 election. He was unsuccessful.
44. Jerry Brown (D-CA), 1989-1997
Jerry Brown's complicated legacy perplexes historians to this day. He cut taxes and trimmed federal bureaucracy, appointed fair-minded judges, and saved the Midwest's manufacturing economy by rejecting the Atlantic Partnership Agreement - a trade proposal between the North American nations. Yet, his steep budget cuts to agencies like HUD were catastrophic to many working class Americans. Nonetheless, he was popular enough to become the only Democrat since Roosevelt to serve two full terms in office.
45. Dick Cheney (R-WY), 1997-2002
Dick Cheney's election to the White House marked a return to big military spending and a flexing of the national muscles. His invasion of Iraq was controversial, but after a string of terrorist attacks in 1999 and 2000, Cheney used the war as proof that he'd been right about the threat of the Middle East. His landslide reelection gave him the mandate to expand the war effort into Pakistan and Afghanistan. His popularity turned when he announced the reinstatement of the national draft in 2002. It was shortly after this announcement that the father of a soldier killed in Iraq assassinated Cheney in 2002.
46. Newt Gingrich (R-GA), 2002-2005
After becoming president, Gingrich gained some favor by walking back the Cheney administration's draft policy, but it was quickly squandered when an extramarital affair revealed that Gingrich was using taxpayer dollars to cheat on his wife and buy her expensive gifts. It cost him reelection, but as a lame duck president he set a timetable for withdrawal from the Cheney Wars.
47. John Murtha (D-PA), 2005-2009
Distraught over the state of the nation, Americans turned to Speaker of the House John Murtha, who seemed to be a steady enough hand. He brought the troops home from the Middle East, repaired America's image abroad, and passed a wildly massive infrastructure bill that jumpstarted the nation's economy. But shortly after his inauguration in 2009, rumors of corruption began to trickle out. In August, news broke that Murtha had knowingly authorized his campaign to take illegal contributions and that he'd illegally handled funds in his Inaugural Committee. As the House drew up articles of impeachment, Murtha had a stroke and died in office.
48. John Edwards (D-NC), 2009-2013
John Edwards was a Southern Populist and thought to be the future of the Democratic Party. But, like Newt Gingrich before him, a series of extramarital affairs hindered his ability to win reelection. Though he passed the most progressive healthcare legislation the country had seen yet, it was not enough to overcome the image that he was cheating on his wife, who was dying of cancer.