The FA Cup third-round replay between Manchester City and West Ham United will be screened live on BBC One on Wednesday 16 January.
The BBC's fourth-round coverage starts with Mansfield v Middlesbrough (1230 GMT) on Saturday 26 January.
The all-Premier League game between Wigan and Chelsea follows at 1715 GMT.
BBC One's third live game of the weekend is between Manchester United and either Reading or Tottenham on Sunday 27 January (1400 GMT).
Sky Sports will televise the third-round replay between Liverpool and Luton Town at 2000 GMT on Tuesday 15 January, followed by West Ham or Manchester City's trip to Sheffield United on 27 January (1600 GMT).
Man City v West Ham
Wednesday 16 January, 2005 GMT, BBC ONE
Mansfield v Middlesbrough
Saturday 26 January, 1230 GMT, BBC ONE
Wigan v Chelsea
Saturday 26 January, 1715 GMT, BBC ONE
Man Utd v Reading/Tottenham
Sunday 27 January, 1400 GMT, BBC ONE