Newcastle's FA Cup tie with Luton Town has not been picked for TV so will go ahead on a Saturday at 3pm.
Manchester United will see their run of 58 televised FA Cup ties come to an end after the visit of Derby was not selected for broadcast in the third-round schedule announced on Thursday.
The Merseyside clash between Liverpool and Everton will open the weekend's live action on Friday January 5, kicking off at 7:55pm and shown on BBC One, with Liverpool 10/1 and Everton 28s in Sky Bet's outright market.
Chelsea's trip to Norwich and the visit of FA Cup holders Arsenal to Nottingham Forest will also feature, but United miss out.
The last time an FA Cup tie involving the Red Devils did not appear on television was some 12 years ago when Sir Alex Ferguson's side drew 0-0 at home to Exeter in the third round.
Saturday's action will start with Leicester facing a potential banana skin away to either Fleetwood Town or Hereford. The match will kick off at 12:45pm and is to be broadcast live on BBC One.
Premier League champions Chelsea head to Carrow Road later in the afternoon, with the 5:30pm kick-off shown by BT Sport 1, who will also screen the Gunners' trip to the City Ground at 4pm on Sunday January 7.
Brighton's home tie against Crystal Palace has been selected for the Monday evening slot, which will see video assistant referees trialled for the first time in competitive action.
The recent Premier League fixture between the two rivals was, though, marred by crowd trouble as some fans without tickets tried to force their way into the Amex Stadium.
The decision was taken to lock turnstiles at 7.51pm, six minutes into a match which finished goalless.
Six people including one 15-year-old boy were arrested, while two stewards - one from each club - had to be taken to hospital, one with three fractured ribs. Some supporters who held tickets were unable to get inside the ground.
Disturbances also broke out at Brighton railway station, where frustration grew among fans set to miss the start of the match.
However, Sussex Police have apologised to both clubs and their supporters for saying that discarded weapons had been found at the stadium.
A statement said: "The reference to weapons being found discarded at the stadium following the Brighton v Crystal Palace match on November 28 was based on information logged by our officers on the night and done so in good faith.
"Subsequently, it has been established that no such items were physically recovered at the stadium or in the city. We accept that this information was incorrect and the tweet published earlier today (December 7) by one of our officers was wrong.
"Sussex Police apologises to both clubs and their supporters."
Sussex Police have started planning for the high-profile FA Cup fixture, in liaison with both clubs and other partners.
Other live third round ties are West Ham's trip to Shrewsbury at 2pm on January 7, screened on BBC One, while Newport's home game against Leeds, kick-off at 12pm, will be broadcast by BBC Wales.
Clubs selected for the televised ties on either BBC One or BT Sport will receive £144,000 from the FA's broadcast fund.