Jimmy Connors is on top of the elite 800-win group with 1,256 wins ahead of Roger Federer, who has 1,156.
The 23-year-old had also hit 32 aces in his second-round victory against Kyle Edmund.
The 29-year-old, who finished as Australian Open runner-up in January, is running into form on grass just in time for Wimbledon.
The victory was the 18th in a row on grass for the 36-year-old Swiss maestro.
Federer will face Australia's world No.60 Matthew Ebden, who defeated Germany's Philipp Kohlschreiber 4-6, 6-1, 6-2, for a place in the semis.
Strycova beat the top-seeded Spaniard, 6-4, 6-4, in one hour, 26 minutes.
He needed only 65 minutes to crush world No.5 Dimitrov in the second round of the Wimbledon warm-up event.
Kyrgios smashed 32 aces in a 7-6 (7/3), 6-7 (5/7), 6-3 second round victory at the Wimbledon warm-up on Thursday.
Japanese seventh seed Kei Nishikori lost to Karen Khachanov.
The Swiss star has struggled to return to peak form since sustaining a left knee injury last year that required two surgeries.
Becker was declared bankrupt by a London court last year.
Halep won her first Grand Slam title earlier this month after lifting the silverware at Roland Garros with a three-set final victory over Sloane Stephens.
The Briton, however, gave an encouraging display in his first competitive match in 11 months.
The world number one needs to lift a record 10th title here on Sunday in order to remain at the summit of the rankings.
The Serb hasn't earned a major title since completing his career Grand Slam by winning the 2016 French Open.