Wimbledon champion Federer displayed deft touch while US Open champ Andy Roddick exuded brute force at the Kooyong International.
In the semi-finals, Agassi beat German fourth seed Tommy Haas, while Johansson beat fellow-Swede Michael Ryderstedt.
Roddick beat Nicolas Kiefer while Federer rallied to down Thomas Johansson in the semi-finals of the Toronto Masters.
Thomas Johansson beat Praskah Amritraj in the reverse singles to secure a 3-1 lead over India.
Here are some of the best moments from the 2019 Australian Open.
Edmund is no flash Harry, on or off the court
Flavia Pennetta, Italy's newly-crowned US Open women's singles champion, will represent Mumbai Masters in this year's Champions Tennis League along with 1996 Wimbledon men's champion Richard Krajicek of the Netherlands following the players' draft, in Mumbai, on Wednesday. The second edition of the Champions Tennis League, the brainchild of former India Davis Cup captain Vijay Amritraj, will be played from November 23 to December 6, an increase of four days from last year's ten-day duration, announced Amritraj at a media conference after the players' draft.
List of Australian Open men's singles champions since the event began in 1905 (Australian unless stated):
List of Australian Open men's singles champions since the event began in 1905 (Australian unless stated):