Roberto Martinez's side are the only Premier League team to fall in the third round, but QPR and Bolton Wanderers leave it late to earn replays.
Di Canio's greatest moment as Swindon knock Wigan out of FA Cup
Swindon Town caused the biggest upset of the day as the side from League Two, the fourth tier, came from behind to beat Premier League Wigan Athletic 2-1 in their FA Cup third round tie at the County Ground.
And Paolo Di Canio, the Robins manager, wants the club's hierarchy to honour his players' victory.
Goals from Alan Connell and Paul Benson earned the win - and Swindon's first progression to the fourth round in 16 years - after Callum McManaman had handed visiting Wigan a 34th-minute lead.
Di Canio, the former Premier League star, revealed after the match that his squad's intense self-belief had exceeded even his own at half time, when Swindon were level at 1-1.
The Italian, who won Serie A, the Uefa Cup and the Scottish Premier League as a player, also branded the victory over Roberto Martinez's side as the greatest moment of his career.
"My lads today deserve something from the club - to do something and put their names in the stadium," he said.
"Normally you do this when you win something important, but I don't want a big statue. Maybe just a small plaque with all their names because they did something special. [At half time] I said to them 'once we go forward, attack because otherwise it is difficult to get what you want today, let the dream come true'. And today they did show the dream can come true. "
Stevenage maintained their reputation as giant killers as they beat Championship side Reading 1-0 at the Madejski Stadium. The side from League One, the third tier, knocked Newcastle United out of the cup in the third round last season.
Bolton Wanderers escaped embarrassment as David Wheater's header saw them salvage a replay against League Two Macclesfield as they drew 2-2 at Moss Rose.
Heidar Helguson's 89th minute equaliser earned a replay for QPR as they drew 1-1 against MK Dons.
Swansea City and Stoke City both came from behind, winning 4-2 at Championship side Barnsley and 3-1 at League Two's Gillingham respectively.