Exeter City's FA Cup third-round tie at home to Liverpool will be broadcast live on BBC One on Friday, 8 January.
The League Two club welcome Jurgen Klopp's Premier League side in a 19:55 GMT kick-off at St James Park.
The all-Premier League tie between Tottenham and Leicester will be shown live on BBC One on Sunday, 10 January at 16:00 GMT.
On the same day at 12:00 GMT, BBC Wales will broadcast live coverage of Swansea's game at Oxford United.
Exeter's clash with Liverpool will be presented by Gary Lineker and kicks off an extensive weekend of FA Cup coverage on the BBC, including Football Focus from one of Saturday's standout fixtures and FA Cup Final Score.
Highlights from all the third-round ties will be shown on Match of the Day and MOTD2.
The draw for the fourth round follows on Monday, 11 January as part of the One Show on BBC One.
BT Sport will broadcast Wycombe Wanderers against last year's beaten finalists Aston Villa on Saturday, 9 January at 12:45 followed by Manchester United hosting Sheffield United at 17:30, with Chelsea against Scunthorpe United shown on Sunday, 10 January at 14:00.