Konta could face Serena Williams in the quarter-finals if both win their fourth round matches.
World number 24 Zverev is the youngest player in the ATP top 50 at the moment.
The 26-year-old has already eliminated Marin Cilic before today's triumph.
Murray will face Germany's Mischa Zverev in the fourth round.
Denis Istomin knocked the Serbian out of the Australian Open in the second round in Melbourne.
Third seed Radwanska stunned by 34-year-old Mirjana Lucic-Baroni.
The Uzbek sent six-time Australian Open champion out in thrilling five-set victory
Murray's main rival for the Australian Open title Novak Djokovic was knocked out in the second round.
Federer beat Berdych in the quarter-finals of the 2016 Australian Open.
The defending champion will head home early after 6-7 7-5 6-2 6-7 4-6 defeat.
Konta will face former world number one Caroline Wozniacki in the third round.
Nick Kyrgios exits Australian Open in the second round after blowing two-set lead over Andreas Seppi.
Rafael Nadal has lost just once in nine meetings against Marcos Baghdatis.
Djokovic has won all the five previous meetings against Istomin without dropping a set.
Angelique Kerber joins them after seeing off fellow German Carina Witthoeft.
Croatian Ivo Karlovic breaks two records in match against Horacio Zeballos
British number three Broady loses close three-set match against Daria Gavrilova.
Murray and Rublev are facing each other for the first time.
Federer could face Tomas Berdych in the third round if both win their respective matches.
Konta came through in straight sets against Kirsten Flipkens.
Stan Wawrinka avoids shock exit against Martin Klizan on day one in Melbourne.
Verdasco beat Rafael Nadal in the first round of the Australian Open in 2016.
Nadal lost in the first round at the 2016 Australian Open against Fernando Verdasco.
Murray made to toil in 7-5, 7-6, 6-2 straight sets win over Marchenko.
Roger Federer is seeded 17th in the tournament.
Murray is currently the number one tennis player in the world.
Murray begins his first Grand Slam campaign as the number one ranked player in the world.
Murray recently increased his lead over Novak Djokovic despite Qatar Open final loss.
The 25-year-old secured a comfortable 6-4, 6-2 victory over the world number three.
Federer missed 6 months on the 2016 season owing to a knee injury.