A random, and not particularly clever, idea - I was just curious what the result would be and whether it would produce a vaguely plausible-looking 'random PM list'. I've (unrealistically) left the election results and OTL midterm switchovers the same and I only show the Conservative and Labour leaders for reasons that'll become clear - so no this isn't a strict two-party UK, I'm just mentioning the Liberals or other parties. I've also ignored peerages because I'm not keeping track of changing titles.
1945-1951: Ernest Bevin (Labour)
1945 def: Anthony Eden (Conservative)
1950 def: Anthony Eden (Conservative)
1951-1951: James Chuter Ede (Labour)
1951-1954: David Maxwell Fyfe (Conservative)
1951 def: James Chuter Ede (Labour)
1954-1955: Rab Butler (Conservative)
1955 def: Kenneth Younger (Labour)
1955-1963: Selwyn Lloyd (Conservative)
1959 def: Patrick Gordon-Walker (Labour)
1963-1964: Henry Brooke (Conservative)
1964-1967: James Callaghan (Labour)
1964 def: Henry Brooke (Conservative)
1966 def: Iain Macleod (Conservative)
1967-1968: George Brown (Labour)
1968-1970: James Callaghan (Labour)
1970-1974: Alec Douglas-Home (Conservative)
1970 def: James Callaghan (Labour)
1974-1976: Roy Jenkins (Labour)
1974a def: Jim Prior (Conservative)
1974b def: Keith Joseph (Conservative)
1976-1979: Denis Healey (Labour)
1979-1982: Peter Carington (Conservative)
1979 def: Denis Healey (Labour)
1982-1983: Willie Whitelaw (Conservative)
1983 def: Roy Hattersley (Labour)
1983-1989: Nigel Lawson (Conservative)
1987 def: Roy Hattersley (Labour)
1989-1990: Douglas Hurd (Conservative)
1990-1993: Norman Lamont (Conservative)
1992 def: John Smith (Labour)
1993-1997: Douglas Hurd (Conservative)
1997-2001: Jack Straw (Labour)
1997 def: Douglas Hurd (Conservative)
2001-2007: Gordon Brown (Labour)
2001 def: Michael Portillo (Conservative)
2005 def: Oliver Letwin (Conservative)
2007-2010: David Miliband (Labour)
2010-2016: Theresa May (Conservative)
2010 def: David Miliband (Labour)
2015 def: Yvette Cooper (Labour)
2016-2019: Philip Hammond (Conservative)
2017 def: John McDonnell (Labour)
2019-????: Dominic Raab (Conservative)
2019 def: Emily Thornberry (Labour)
The gimmick is that it cycles through OTL holders of the other three Great Offices of state in the order Foreign->Home->Exchequer, following changeover dates if those happened midterm.
There are too many changeovers to really be plausible unless weird things are happening (reminiscent of Curse of Maggie) but I like that some of these do look vaguely plausible, like Brown->Miliband->May. Also both Jim Callaghan and Douglas Hurd pulling a Grover Cleveland (or Kevin Rudd) suggests to me a UK that works on Australian backstabbing spills at the drop of a hat type rules.
1945-1951: Ernest Bevin (Labour)
1945 def: Anthony Eden (Conservative)
1950 def: Anthony Eden (Conservative)
1951-1951: James Chuter Ede (Labour)
1951-1954: David Maxwell Fyfe (Conservative)
1951 def: James Chuter Ede (Labour)
1954-1955: Rab Butler (Conservative)
1955 def: Kenneth Younger (Labour)
1955-1963: Selwyn Lloyd (Conservative)
1959 def: Patrick Gordon-Walker (Labour)
1963-1964: Henry Brooke (Conservative)
1964-1967: James Callaghan (Labour)
1964 def: Henry Brooke (Conservative)
1966 def: Iain Macleod (Conservative)
1967-1968: George Brown (Labour)
1968-1970: James Callaghan (Labour)
1970-1974: Alec Douglas-Home (Conservative)
1970 def: James Callaghan (Labour)
1974-1976: Roy Jenkins (Labour)
1974a def: Jim Prior (Conservative)
1974b def: Keith Joseph (Conservative)
1976-1979: Denis Healey (Labour)
1979-1982: Peter Carington (Conservative)
1979 def: Denis Healey (Labour)
1982-1983: Willie Whitelaw (Conservative)
1983 def: Roy Hattersley (Labour)
1983-1989: Nigel Lawson (Conservative)
1987 def: Roy Hattersley (Labour)
1989-1990: Douglas Hurd (Conservative)
1990-1993: Norman Lamont (Conservative)
1992 def: John Smith (Labour)
1993-1997: Douglas Hurd (Conservative)
1997-2001: Jack Straw (Labour)
1997 def: Douglas Hurd (Conservative)
2001-2007: Gordon Brown (Labour)
2001 def: Michael Portillo (Conservative)
2005 def: Oliver Letwin (Conservative)
2007-2010: David Miliband (Labour)
2010-2016: Theresa May (Conservative)
2010 def: David Miliband (Labour)
2015 def: Yvette Cooper (Labour)
2016-2019: Philip Hammond (Conservative)
2017 def: John McDonnell (Labour)
2019-????: Dominic Raab (Conservative)
2019 def: Emily Thornberry (Labour)
The gimmick is that it cycles through OTL holders of the other three Great Offices of state in the order Foreign->Home->Exchequer, following changeover dates if those happened midterm.
There are too many changeovers to really be plausible unless weird things are happening (reminiscent of Curse of Maggie) but I like that some of these do look vaguely plausible, like Brown->Miliband->May. Also both Jim Callaghan and Douglas Hurd pulling a Grover Cleveland (or Kevin Rudd) suggests to me a UK that works on Australian backstabbing spills at the drop of a hat type rules.