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World Snooker Championship: BBC to show classic Crucible matches
Current world champion Judd Trump, seven-time winner Stephen Hendry and five-time champion Ronnie O'Sullivan also feature in the two-hour episodes, starting on Saturday, 18 April.
That day was supposed to mark the start of this year's championship in Sheffield but the event has been postponed because of the coronavirus crisis and has yet to be rescheduled.
The 1985 showpiece is regarded as the most famous Crucible final, as Taylor fought his way back from 8-0 down to claim the world title on the last black of the last frame in a match watched by an audience of 18.5m.
All times BST
Saturday 18 April 15:00: Steve Davis v Tony Knowles - 1982, first round.
Sunday 19 April 14:00: Ray Reardon v Alex Higgins - 1982, final.
Monday 20 April 14:00: Steve Davis v Jimmy White - 1984, final.
Tuesday 21 April 14:00: Neil Robertson v Mark Selby - 2014, semi-final.
Wednesday 22 April 14:00: Steve Davis v Joe Johnson - 1986, final.
Thursday 23 April 14:00: Jimmy White v Stephen Hendry - 1988, second round.
Friday 24 April 14:00: Stephen Hendry v Jimmy White - 1992, final.
Saturday 25 April 12:30: Stephen Hendry v Jimmy White - 1994, final.
Sunday 26 April 14:00: Stephen Hendry v Ronnie O'Sullivan - 2002, semi-final.
Monday 27 April 13:45: Peter Ebdon v Matthew Stevens - 2002, semi-final.
Tuesday 28 April 13:45: Ken Doherty v Paul Hunter - 2003, semi-final.
Wednesday 29 April 13:45: Shaun Murphy v Matthew Stevens - 2007, quarter-final.
Thursday 30 April 13:45: John Higgins v Judd Trump - 2011, final.
Friday 1 May 13:45: Ronnie O'Sullivan v Barry Hawkins - 2013, final.
Saturday 2 May 12:30: Neil Robertson v Judd Trump - 2014, quarter-final.
Sunday 3 May 13:00: Steve Davis v Dennis Taylor - 1985, final.
Monday 4 May 13:45: Judd Trump v Stuart Bingham - 2015, semi-final.