The biggest upset of the day on another 40-plus degree afternoon before the cool change kicked in saw unseeded German Florian Mayer beat rising Polish 20th-seed Jerzy Janowicz.
World No. 9 Frenchman Richard Gasquet is also out after losing an entertaining affair to 17th-seeded Spanish veteran Tommy Robredo.
Friday's third round men's action, though, saw Djokovic (No. 2 seed), Ferrer (3), Berdych (7), Fognini (15), Robredo (17) and Anderson (19) all win their way into the Round of 16.
The first men's match on Friday on Rod Laver Arena saw world No. 3 Ferrer take on 29th-seeded Frenchman Jeremy Chardy.
The Spaniard had little trouble in the first and third sets, and prevailed in a second set tie-break to claim the match 6-2, 7-6 (5), 6-2.
The first men's third round match of the day on Hisense Arena saw world No. 1 Czech Berdych do battle with Bosnia and Herzegovina surprise packet Damir Dzumhur.
The world No. 188 21-year-old has advanced to his first Grand Slam third round by beating Jan Hajek and Ivan Dodig, but was no match for a Berdych who desperately hopes to break through for the first major win of his career in 2014 after threatening for several years now, including making a Wimbledon final.
In the end, Berdych won 6-4, 6-2, 6-2.
The first men's match on Friday on Margaret Court Arena turned out to be the marathon affair of the day pitting South African 19th-seed Anderson up against Frenchman Edouard Roger-Vasselin.
World No. 40 Roger-Vasselin made an outstanding start claiming the first two sets to appear on track for the first Grand Slam fourth round appearance of his career, but the big-hitting South African wasn’t about to give up so easily.
Anderson claimed the third set comfortably, but then had to fight for his life in the last two. He prevailed, though, and claimed the match 3-6, 4-6, 6-3, 7-6 (5), 7-5.
The reward for Anderson is a fourth round clash with Czech Berdych.
The upset of the day then came on Court 3 when German world No. 37 cruised to a straight-sets win over Polish 20th-seed Janowicz, 7-5, 6-2, 6-2.
Janowicz was forced to withdraw from the Hopman Cup in Perth due to a foot injury to start his Australian summer and he admitted to his conditioning and fitness never really catching up, and that showed against the German 30-year-old old who was ready to fire.
Mayer has never previously made the fourth round of the Australian Open in nine attempts and he will now look to cause an even bigger upset against Ferrer in Round 4.
The final match of the night saw world No. 2 Djokovic hit Rod Laver Arena and the four-time Australian Open champion cruised through against world No. 2 Uzbekistani Denis Istomin, 6-3, 6-3, 7-5.
It was an efficient performance from the former long-time world No. 1 with the Serb hitting six aces to win 78 per cent of his first serves, winning 16-of-21 points at the net, 5-of-8 break points and hitting 31 winners.
Perhaps the best pure tennis match of the day, and perhaps the week, took place on Hisense Arena between two of the best shot makers in the game, the No. 9 seed Gasquet and No. 17 seed Robredo.
The Frenchman cruised through the first set allowing Robredo just two games, but the Spaniard hasn’t put together the fighting career that he has for nothing and he continues to show that despite being 31 years of age, he likely is in the form of his career.
Robredo stunned Roger Federer in his last Grand Slam appearance on his way to the US Open quarter finals last year, and now he is into the fourth round of the Australian Open after claiming the next three sets against Gasquet by playing some stunning tennis.
It was a shot-makers dream out on Hisense Arena with Gasquet hitting 62 winners to Robredo's 51 with both only making 34 and 38 unforced errors respectively.
However, Robredo served better with 16 aces to four and managed to win the big points when they mattered to take out the match 2-6, 7-5, 6-4, 7-6 (6).
Italian 15th-seed Fognini is also in the fourth round of the Australian Open for the first time after a relatively comfortable straight-sets victory over American Sam Querrey on Margaret Court Arena, 7-5, 6-4, 6-4.
Fognini's reward for his outstanding form so far this week in Melbourne is a clash in the Round of 16 against Djokovic.
Meanwhile, Swiss world No. 8 Stanislas Wawrinka has received a clear path into the fourth round with a walkover victory over Canada's V Pospisil.
Pospisil couldn’t back up from his four-set second round win over Australian Matthew Ebden handing Wawrinka a fourth round berth at the Australian Open without needing to step onto court.
Wawrinka will now take on the in-form Spanish veteran Robredo in the fourth round.