Warner, himself, said he had no regrets but admitted he was thinking about Lara's record as he motored past 300.
Virat Kohli stepped down as India's 20-overs skipper and lost ODI captaincy too with Rohit Sharma taking over as their sole white-ball leader.
In the bowlers list, Bumrah achieved a career-high ranking of 28 while fellow teammate Mohammad Shami moved two places to 24th.
Having gone down swinging in an enthralling Adelaide Test, Australia barely have time to pick themselves up off the canvas before another potentially bruising contest against a confident India in Perth.
Australia's limited-overs captain Aaron Finch wants the home team players to strike a fine balance when they confront Virat Kohli in the opening Test as he believes, if provoked too much, the India skipper can be ruthless against his opponents.
IMAGES from the 1st Test played between Australia and New Zealand in Melbourne on Thursday
During last India Test series in Australia, Smith was banned for ball tampering and missed out on challenging one of his favourite opposition.
West Indies legend Viv Richards, on Thursday, said India have a 'lot of ground to cover' in terms of winning series overseas but hoped they will have the last laugh in the ongoing duel in Australia.
A superb cameo from Glenn Maxwell helped Kings XI Punjab overcome a poor start to their chase and win the battle of first-timers against Hobart Hurricanes by five wickets in the Champions League T20 in Mohali.
Images from Day 2 of the second Test between Australia and India, at the Melbourne Cricket Ground, on Saturday.
Steve Smith stepped down as Australia captain on Sunday and has been suspended for one Test by the International Cricket Council amid stunning ball-tampering revelations that have plunged the test team into crisis.
India were 98 for 2 at close of play on the fourth day of the third Test at the Sydney Cricket Ground on Sunday, still 308 runs behind Australia and a full day's batting away from saving the match.
Images from Day 3 of the fourth Test between Australia and India, at the Gabba, on Sunday.
Virat Kohli's side are determined to keep the momentum rolling into the second clash in Perth and inch closer to a breakthrough series triumph Down Under.
I'm against the whole resting rule. I don't like bowlers resting: Brett Lee
Images from Day 1 of the 5th and final opening Test between Australia and England at the SCG in Sydney on Thursday
IMAGES from Day 1 of the 2nd Ashes Test played in Adelaide on Thursday.
High on confidence after decimating a high-profile Royal Challengers Bangalore, an upbeat Gujarat Lions will be aiming to lift their game a notch higher when they face title contenders Mumbai Indians in an Indian Premier League encounter, in Rajkot on Saturday.
India finished Day 2 of the second Test against Australia on a strong 277 for 5 in 91.3 overs, with a handy lead of 82 runs, and three days still left.
'We are looking at one session at a time'
Images from Day 1 of the second Test between Australia and India, at the Melbourne Cricket Ground, on Saturday.
The India team sent out a message saying Ashwin was after all to be included in the squad and a decision on whether he played would not be made until the first morning of the match on Thursday.
Though Smith is absolutely free to make a return to the national team for next year's World Cup and Ashes series in England, he can only fill back the leadership role in March 2020.
With day-night matches seen as a possible solution to Test cricket's dwindling attendances, Australia are hopeful that India will agree to play one at the Gabba next year.
'India's resilience has got to give up at some stage. They can't keep doing what they've been doing, being so resilient, and tomorrow it might be that day. The last day of the series, potentially playing for another draw, I've just got a feeling that something's got to give. And Australia on the other hand, they know they have to go flat out and give everything to win the series.'
The ICC's rating is presumably due to the uneven bounce that became more prevalent later in the recently-concluded second Test between Australia and India.
Vice-captain Warner remains a doubt after hurting his neck when going for a high catch during training at the Gabba on Tuesday, although Australia skipper Steve Smith backed him to be fit and ready for the start of the five-match series.
Images from Day 1 of the fourth Test between Australia and India, at the Gabba, on Friday.
'They have tried too hard to be that stereotypical Australian team that are aggressive and go hard at people.'
The 2-0 whitewash by Tim Paine's side, Pakistan return home with more regrets than highlights.
'They have got so much talent. And in the last 10 years when they have not been playing home Test matches (for security reasons), they have done a remarkable job to be as competitive as they have and continue to bring on the level of talented players they have.'
Everything happened so quickly that no one could make any sense of it," Kohli was unable to fathom what hit his team, said Kohli after his team were bundled out for 36 - India's lowest score in Test cricket.
Australia's cricketers will just have to bear English taunts over the ball-tampering affair on tour next month for the one-day international series, spinner Nathan Lyon has said.
Pandya is undergoing rehabilitation after suffering a lower-back injury during the Asia Cup in Dubai.
'This was a very impressive win because they did it the hard way'
Australia captain Steve Smith brushed off concerns about his fitness on the eve of the fifth and final Ashes Test against England on Wednesday before Mitchell Starc's return to spearhead the pace attack was confirmed as the only change to his team.
Rest the skipper against a West Indies team whose batsmen would struggle against some Ranji Trophy sides and try out some new players in the Hyderabad Test recommends Harish Kotian.
Clarke said their statement finds no mention of the incident's chief protagonist, Cameron Bancroft
Following is a factbox on the first Test match between Australia and England, which starts on Thursday:
On the back of some great all-round performance, Australia thumped New Zealand by 247 runs to win the Boxing Day Test and take a 2-0 series lead. Images from Day 4 of the Boxing Day Test played at the MCG on Sunday.