Three Bridges had to wait until the second half to break the deadlock in a 3-0 home win over Saltdean, despite dominating the first period.
Jamie Edwards scored with a 25-yard shot which somehow bounced over the goalkeeper.
Boss Darren Barker said: "After missing all those good chances, I couldn't believe it when we finally scored with a fluke goal like that."
There was nothing wrong with Lee Hanson's 18-yarder which put Bridges two-up.
Danny Cook played a part in that goal, as well as the third, coolly tucked away by substitute Nathan Pullen.
Damion Dobbyn fired a treble in Ringmer's 5-0 destruction of visiting Pagham. His best came after a slick one-two with Tony Holden who was also on target.
Matt Geard also netted and dad Glen, the Ringmer boss, said; "We are scoring goals for fun."
Not so Peacehaven and Sidlesham, who shared a goalless stalemate at Piddinghoe Avenue.
There was just a scrappy Jimmy Hassler effort to enjoy at Whitehawk as hard-working Arundel grabbed a 1-0 win.
Hassler forced home a cross from Jason Wimbleton as defender Jay Pickering dived in to challenge.
Mullets were indebted to some fine saves from Andy McCarthy but could have wrapped up the points when Miles Scerri hit the bar from five yards.
Horsham YMCA continued their excellent cup record of recent seasons with a 1-0 home win over Eastbourne United to see them into the last four of the John O'Hara.
Mark Francis headed off the prospect of extra-time by converting a Gil Taylor pass.
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