Federer, 36, is not expected to play for another decade so questions have been raised over why he has been given such a long deal.
World number one and top seed Simona Halep reeled off 10 games in a row after falling behind 5-3 in the first set to beat Zheng Saisai of China 7-5 6-0. "I was really happy to perform such good tennis on Centre Court".
The Swiss then opted to skip the clay-court season to prepare himself for this year's Wimbledon, where he has already progressed to the second round after brushing aside Serbian Dusan Lajovic, 6-1 6-3 6-4 in just 79 minutes.
Five-time champion Venus was a 4-6, 6-0, 6-1 victor against Alexandra Dulgheru while seven-time winner Serena defeated Viktoriya Tomova 6-1, 6-4.
"Novak and Rafa, all these guys are still in the draw", Federer said.
Federer sauntered on to court to a huge ovation and treated his army of fans to a masterclass in a first set that lasted a mere 20 minutes.
The 23-Grand-Slam-titleholder is looking in the best form we've seen her in since the birth of her daughter, and she's building her confidence in each round.
Among the 15,000 people on Centre Court were his two sets of twins.
Federer will play Ivo Karlovic or Jan-Lennard Struff in the fourth round.
With the draw opening up in her favour, Williams is widely expected to make history with a first Grand Slam title since the birth of her daughter Olympia in Sept past year. Isner next plays No. 31 Stefanos Tsitsipas, the first Greek man into the round of 16 at a Grand Slam tournament in the 50-year professional era.
At 4-3, 40-30, Federer hit a 118 miles per hour ace to hold and start his roll that included the last five points he served in the first set, all 20 in the second, and then the first 10 of the third.
Australian Open champion Caroline Wozniacki and last year's men's runner-up, Marin Cilic, are also back in action as they try to avoid more upsets at the tournament.
"I am happy to be able to play in the third round tomorrow".
"I felt it's an opportunity missed", he said.
The Czech faces Dutch 20th seed Kiki Bertens, who stunned five-time Wimbledon victor Venus in the third round. "I think I was playing better than before".
Azarenka's one-year-old son Leo travels with her on the tour amid a stressful custody battle that forced her to step away from the sport last year. "I was in the restaurant and saw on the phone it was the shootout, and I saw a pub, so I just went in and watched it".
Kiki Bertens grabbed a decisive break in the 18th game to beat ninth-seeded Venus Williams 6-2 6-7 (5) 8-6 and reach the fourth round at Wimbledon for the first time.