The Taliban announcements at a media briefing on Tuesday were short on details but suggested a softer line than during their rule 20 years ago. They came as the United States and Western allies resumed evacuating diplomats and civilians the day after scenes of chaos at Kabul airport as Afghans thronged the runway.
"We don't want any internal or external enemies," the movement's main spokesman, Zabihullah Mujahid, said.
Women would be allowed to work and study and "will be very active in society but within the framework of Islam," he added.
As they rushed to evacuate, foreign powers assessed how to respond to the transformed situation on the ground after Afghan forces melted away in just days, with what many had predicted as the likely fast unravelling of women's rights.
US President Joe Biden and British Prime Minister Boris Johnson said they had agreed to hold a virtual meeting of Group of Seven leaders next week to discuss a common strategy and approach to Afghanistan.
During their 1996-2001 rule, also guided by Islamic sharia law, the Taliban stopped women from working and meted out punishments including public stoning. Girls were not allowed to go to school and women had to wear all-enveloping burqas to go out and then only when accompanied by a male relative.
The United Nations Human Rights Council will hold a special session in Geneva next week to address "serious human rights concerns" after the Taliban takeover, a UN statement said.
Ramiz Alakbarov, the UN humanitarian coordinator for Afghanistan, told Reuters in an interview the Taliban had assured the United Nations it can pursue humanitarian work in Afghanistan, which is suffering from a drought.
'WALK THE TALK'
The European Union said it would only cooperate with the Afghan government following the Taliban's return to power if they respected fundamental rights, including those of women.
Within Afghanistan, women expressed scepticism.
Afghan girls' education activist Pashtana Durrani (23) was wary of Taliban promises. "They have to walk the talk. Right now they are not doing that," she told Reuters.
Several women were ordered to leave their jobs during the Taliban's rapid advance across Afghanistan.
Mujahid said the Taliban would not seek retribution against former soldiers and members of the Western-backed government, and were granting an amnesty for former Afghan government soldiers as well as contractors and translators who worked for international forces.
"Nobody is going to harm you, nobody is going to knock on your doors," he said, adding that there was a "huge difference" between the Taliban now and 20 years ago.
Mujahid said private media could continue to be free and independent in Afghanistan and that the Taliban were committed to the media within their cultural framework.
He also said families trying to flee the country at the airport should return home and nothing would happen to them.
RESISTANCE AND CRITICISM
Mujahid's conciliatory tone contrasted with comments by Afghan First Vice President Amrullah Saleh, who declared himself the "legitimate caretaker president" and vowed not to bow to Kabul's new rulers.
It was not immediately clear how much support Saleh enjoys in a country wearied by decades of conflict.
NATO Secretary General Jens Stoltenberg said the Taliban should allow all those who wanted to leave the country, adding that NATO's aim was to help build a viable state in Afghanistan and warning that the alliance could strike if the country again becomes a breeding ground for terrorism.
The decision by Biden, a Democrat, to stick to the withdrawal deal struck last year by his Republican predecessor, Donald Trump, has stirred widespread criticism at home and among US allies.
Biden's approval rating dropped by 7 percentage points to 46%, the lowest level of his seven-month-long presidency, according to a Reuters/Ipsos poll conducted on Monday. It also found that less than half of Americans liked how he has handled Afghanistan.
US forces took charge of the airport - the only way to fly out of Afghanistan - on Sunday as the militants wound up a week of rapid advances by taking over Kabul without a fight.
US General Frank McKenzie, the head of US Central Command, was at Kabul's airport on Tuesday to evaluate security.
The State Department said on Tuesday that Washington had completed a drawdown of embassy personnel from Kabul and remaining diplomats were assisting in the evacuation.
US military flights evacuating diplomats and civilians restarted after having been suspended on Monday due to chaos at Kabul airport.
Asked how Washington would hold the Taliban to their pledge to respect women's rights, Biden's national security adviser, Jake Sullivan, signalled that options included sanctions and marshalling international condemnation and isolation.
Washington was blocking the Taliban from accessing any Afghan government funds held in the United States, including about $US1.3 billion (NZ$1.87 billion) of gold reserves held at the Federal Reserve Bank of New York, a Biden administration official said.
Biden said he had had to decide between asking US forces to fight endlessly or follow through on the withdrawal deal.
He blamed the Taliban takeover on Afghan political leaders who fled and the army's unwillingness to fight.