After the weather finally subsided, the White Rose needed just over 53 overs to bundle Warwickshire out for 128. Liam Plunkett was to the fore, taking five for 32, with Ryan Sidebottom and Steven Patterson splitting the remaining wickets.
Only Jim Troughton offered any resistance, the Bears captain left stranded on 65 not out. Yorkshire then survived five overs before the close, making 11 without loss.
Somerset, winless in four matches so far, had Middlesex 293 for eight at stumps - with control of the match in the balance.
After winning the toss at Taunton it took Somerset 24 overs to take a wicket - the in-form Sam Robson for 42 - but things improved as Jamie Overton went on to take four for 65 and Jack Leach three for 36.
Australia's Chris Rogers (57) and Joe Denly (55) each detained Somerset, with Neil Dexter heading into day two on 73 not out.
Surrey made a good start at Trent Bridge as they also attempted to record a first win at the fifth attempt. They had Nottinghamshire 273 for nine at the close, Stuart Meaker claiming four for 70.
Meaker's haul included the key wickets of Ed Cowan and Michael Lumb, while Tim Linley took care of James Taylor (44) on his way to three for 54. Steven Mullaney's knock was the home side's brightest spot, as he made 68 before being dismissed by Linley.
Nearly 35 overs were lost to rain at Derbyshire's County Ground, where the hosts moved to 158 for six against Sussex.
Wayne Madsen's 63 was the only significant contribution with the bat, but Steve Magoffin and Chris Jordan both managed two wickets. Monty Panesar joined in by taking the wicket of Alasdair Evans with the last ball of the day.
In Division Two, 12 wickets fell at the SWALEC Stadium in the match between Glamorgan and Essex.
Glamorgan lost 10 of them as they were dismissed for 231, Stewart Walters (67) and Jim Allenby (77) making the majority of those runs.
David Masters was Essex's main threat and ended with five for 44, before Michael Hogan hit back twice for the hosts to leave the away team 10 for two.
Leicestershire managed four wickets despite only 34 overs being possible on a rain-affected day against Northamptonshire.
The home side made 91 for four in the time available, with Ollie Freckingham taking two wickets.
Rob Newton, on 22no, is already the top scorer of an innings that has thus far failed to get going.