Bridge, champions in 2015 and 2019, were involved in one of the shorter matches of the day, being castled for 86 at Dunnington.
Only Tommy Hudson (34) troubled the scorers to any degree as Dave Brent (5-14) and Jonathan Anderson (3-17) struck before Dunnington lost just four men in reaching their target in the 27th over.
Harrogate, champions in 2016, were on the wrong end of a run feast at home to Castleford, for whom former Derbyshire player Chesney Hughes starred.
The 30-year-old Anguillan scored 94 but played second fiddle to Liam Hyde (74) in an opening partnership of 138 as Cas racked up 317-9 – a club record for this league – with the ever-reliable David Wainwright scoring 43.
Opener Harry Thompson scored a super 137 not out for Harrogate, hitting 13 fours and a six, but lacked support and they finished on 241-8.
Duncan Snell (76) and Guy Darwin (85) added 116 for the second wicket in York’s 245-9 but visitors Woodhouse Grange paced their reply against the 2017 and 2018 champions to win by five wickets with 13 balls to spare, Harry Gamble (50) sharing a second-wicket stand with Chris Bilton (64).
Hosts Acomb also paced their reply right in overcoming Driffield’s 223-8 with 14 balls remaining, earning their first win in 16 top-flight matches, while Yorkshire Academy were no match for Scarborough at Weetwood, losing by nine wickets to give the visitors a first win over them in this league.
Appleby Frodingham were the highest scorers in the Yorkshire Southern Premier League, finishing just shy of 300 at Hallam.
The impetus for the visitors’ 291-7 came from captain Matthew Fowler (68) and Alex Grimes (92), whose opening partnership was broken on 111.
James Smedley (4-58) did his best to keep the home side in the match but they could not find a dominant batsman and ended on 217-8, with Joe Baker taking 3-48.
Greg Wadsworth (62) was the only man to reach a half-century for Wakefield Thornes, but their innings was peppered with supporting knocks in their 262-8 – something that was a shade lacking for opponents Treeton, whose 223 included decent innings for the evergreen Stephen Foster (61) and Archie Ogden (51).
Joining Appleby Frodingham and Wakefield Thornes on two wins are Barnsley, who edged out Doncaster by 19 runs, chiefly thanks to all-rounder Harpreet Singh Bhatia, who made 63 and claimed 5-51.
Think of a prominent batsman in the Bradford Premier League, and Gary Fellows or Mark Robertshaw spring to mind.
However, Lee Goddard is putting in a strong case to be ranked alongside such luminaries with the start he has made to the campaign.
The former Derbyshire and Durham wicketkeeper followed his 123 against Cleckheaton on opening day with 141 against Bradford & Bingley.
That knock, coupled with 84 from teenager Aidan Langley, who added 217 for the first wicket with him, propelled New Farnley to 349-4 at Wagon Lane, the home side replying with 162.
Level on a maximum 40 points with New Farnley are Hanging Heaton, whose star was opening bowler James Byrne (6-70) as Pudsey St Lawrence were beaten by nine runs.
Fellows (23) and Nick Connolly (43) ‘only’ added 64 for the first wicket in Hanging Heaton’s 229-9, Shahban Raheem hitting 55 not out off 61 balls as off-spinners Archie Scott (3-56) and Chris Marsden (3-62) found some reward.
Saints were in a sorry state at 81-7 but got close in the end thanks to James Smith (83, including eight fours and five sixes), batting low at No 8, and Charlie Parker (39).
Hoylandswaine, the defending champions in the Huddersfield League, fell 20 runs short of hosts Mirfield Parish Cavaliers’ 185-7, despite a knock of 70 from Arron Lilley.
Otley, winners of the Airedale and Wharfedale League in 2019, made it two defeats from two matches when their batting failed at home to Rawdon, for whom Andrew Doidge took 5-27 in dismissing them for 118.