Halep beat Sabine Lisicki 6-4, 6-0 while Bouchard defeated Angelique Kerber 6-3, 6-4 to reach the semis.
Nadal fell in the last-16 to Australian rookie Kyrgios on Tuesday losing 6-7 (5/7), 7-5, 6-7 (5-7), 3-6.
Kyrgios said he got all fired up by his mother thinking he had no chance against Rafael Nadal.
The Indo-Czech team beat Britain's Colin Fleming and Jocelyn Rae 6-4, 7-5 to progress to pre-quarters.
Ranked 144, Nick Kyrgios beat the No. 1-ranked Nadal 7-6 (5), 5-7, 7-6 (5), 6-3 to reach quarterfinals.
Sharapova was beaten 7-6(4) 4-6 6-4 in the last 16 by Germany's Angelique Kerber.
Nick Kyrgios, a 19-year-old wild card from Australia, beat the No. 1-ranked Nadal 7-6 (5), 5-7, 7-6 (5), 6-3.
Djokovic allayed injury concerns to beat Jo-Wilfried Tsonga 6-3, 6-4, 7-6 (5) on Monday.
Title holder tames Anderson, makes quarter-final; seeds tumble in women’s draw.
Murray will next meet either Grigor Dimitrov of Bulgaria or Leonardo Mayer of Argentina for semis berth.
Sharapova is primed to win her second Wimbledon title after shock losses suffered by Williams and Li Na.
With a 2nd successive title 4 victories away, Murray and his fans will be scanning the horizon for looming dangers.
Out-of-sorts top seed Williams loses in three sets; Nadal, Federer and Sharapova sail through.
Top seed Serena won the first set 6-1 but couldn't keep up the form as Riske won the 2nd & 3rd sets 6-3, 6-4.
Sharapova cruised into the fourth round of Wimbledon with a 6-3, 6-0 win over Alison Riske of the USA.
Nadal overcame another slow start to win 6-7 (4), 6-1, 6-1, 6-1 win over Mikhail Kukushkin on Centre Court.
Sir Bobby Charlton, David Beckham, cricketer Stuart Broad and golfer Ian Poulter were also present.
At 34, Venus was oldest woman left in Wimbledon singles that led to plenty of talk that she will retire.
Li Na, Venus ousted; Djokovic survives injury scare to enter last 16.
Djokovic overcame a hard fall in the third set to advance to the fourth round with a win over Gilles Simon.
Two years after being knocked out at the same stage by Rosol, Nadal fought back to win 4-6 7-6(6) 6-4 6-4.
Nadal was one point away from falling behind by two sets before rallying to beat Rosol on Centre Court.
Djokovic won the match by taking the 4th set with a tie breaker in a three and a half hour match.
Exponent of the red surface finds transition to grass difficult, going out in Rd 2 of Major for first time in 4 years.
Seventh-seeded David Ferrer lost to 118th-ranked qualifier Andrey Kuznetsov of Russia on Wednesday.