Harlequins thrashed last season's Challenge Cup semi-finalists Toulouse 48-6 to cruise into the fifth round of the competition. Quins made a slow start and fell 6-0 behind, but made their class tell with Tony Clubb grabbing a hat-trick and Matt Gafa contributing 16 points.
Elsewhere, Leeds overcame Leigh 12-36 and Salford beat Dewsbury 32-4.
Warrington had a fairly straightforward passage, thrashing London Skolars 52-0, while Huddersfield beat Halifax 40-8.
It was the first meeting between the local rivals since 2003, but the performance of Robbie Paul at half-back endured the Giants were never in danger of defeat.
Under-fire Wigan staged a superb comeback to beat Wakefield 32-22, and Widnes produced the weekend's biggest shock as they beat Super League side Castleford 14-4.
Featherstone, the BBC Sport website's latest Road to Twickenham team, enjoyed their tie against Keighley, easing to a 44-10 win, with Wayne McHugh grabbing four tries.
The closest tie of the round saw York just edge past Swinton 20-18, while Hull KR swept to a comprehensive 22-0 away win over Hunslet.
National League One side Whitehaven overcame Batley 28-16 and Barrow had few problems against Oldham, winning 40-8.
On Saturday, Catalans Dragons shattered the giant-killing dream of amateurs Thornhill Trojans with a 66-0 triumph.
The French Super League side led by a modest 14-0 at half-time but were rampant after the break to score 12 tries in all.
In Saturday's other action, Bradford defeated holders Hull 23-12 and Rochdale beat Celtic Crusaders 32-8.
On Friday, Super League leaders St Helens demolished Doncaster 56-6.