English trio Nick Matthew, Laura Massaro and Sarah Kippax all reached the quarter-finals of the Allam British Open in Hull.
World champion Matthew beat countryman Daryl Selby 3-2, while Massaro defeated Hong Kong's Annie Au 11-7 11-4 11-6 in their second-round matches.
Three-time champion Matthew will face either Egyptian Karim Darwish or compatriot Fares Dessouki on Friday.
Massaro will play Kippax, who beat Guyana's Nicollette Fernandes 3-2.
"It's a huge relief to get the win," said the 33-year-old Matthew.
"Daryl is a dangerous opponent and he has been throughout my career. He's a player I've always had to approach carefully as he's physically strong so we share a lot of attributes.
"If I'm not firing on all cylinders he can overtake me doing the things I'm good at and I can sometimes struggle to come up with a plan B against him as he's one of the few players who can take me on at the physical game."
In March, defending champion Massaro became the first ever British woman to hold both the World and British Open titles at the same time.
Speaking after defeating Au, the 30-year-old said: "To say I'm chuffed to get through is an understatement. Although I can get quite fiery, I was even more fired up tonight. I really wanted to win and I had to be at the top of my game as Annie is such a talented player."
The 31-year-old Kippax trailed 2-1 but won the fifth 12-10 to triumph in 84 minutes.
"It was a long one," she said. "The first game seemed to go on forever but it was a truly great match. It's my first ever quarter final of a World Series event so I'm thrilled."
Men's second-round results:
 Nick Matthew (Eng) bt Daryl Selby (Eng) 11-7 10-12 11-3 5-11 11-4
Mathieu Castagnet (Fra) bt Adrian Grant (Eng) 7-11 11-7 6-11 11-9 11-6
 Mohamed Elshorbagy (Egy) bt Tarek Momen (Egy) 11-2 11-3 11-9
Women's second-round results:
 Low Wee Wern (Mas) bt Emma Beddoes (Eng) 11-9 11-9 6-11 6-11 11-9
 Raneem El Weleily (Egy) bt  Kasey Brown (Aus) 11-5 11-6 11-3
Sarah Kippax (Eng) bt Nicollette Fernandes (Guy) 15-17 11-7 13-15 11-3 12-10
 Laura Massaro (Eng) bt  Annie Au (Hkg) 11-7 11-4 11-6