This is the UK following the 2001 election in a PM List I did yesterday.
In this world, things went properly to crap in the 1970s, both Labour and the Tories swung to the ideological extremes, and a 'National Unity' government composed of the Liberals and moderate factions of Conservatives and Labour came together under Jeremy Thorpe. Thorpe united the government into one big tent party which governed until the mid 90s. On the surface it was pretty moderate and centrist, maintaining some aspects of Keynesianism whilst also introducing neoliberalism. However under the surface, there was a lot of corruption, back room dealing, and lowkey authoritarianism with a few awkward journalists disappearing in mysterious circumstances.
The National Unity Party loses its majority in the 90s and is ultimately defeated by Labour. They secure a majority in 1996 and after that, all the scandals that had been suppressed for decades come bubbling out. The NUP is destroyed by this, reforming into the British Peoples' Party to try and clean itself, while a chunk of Liberal Restorationists leave. At the 2001 election, Labour wins a landslide against a deeply divided opposition.
Ulster is a bit more weird. The Ulster Unionists never separate from the Conservatives, who are led by more right wing figures in this world. As the party dwindles in the face of the NUP's dominance, the leadership is ensnared by Ian Paisley. Nevertheless, the party is able to maintain a presence on the mainland well into the 90s but helping to prop up Paul Channon's NUP minority in that decade does for them and in 2001 they lose their remaining seats in Great Britain. Their grip on Ulster remains firm however, as Paisley had become something of an NUP proxy in the province, and their only significant opposition is the Republican Labour Party which has absorbed the Nationalist and Socialist elements which had opposed the Ulster Unionists since the early days of Stormont. Chris Mullin now has a large majority in Westminster and he promises to end Paisley's strange state within a state...