Two of the most regrettable points are: 1) United States has not allowed the world to recognize Taliban government and 2) to continue its tyranny United States has not released foreign reserves of Afghan central bank as yet.
"The experience of the past 20 years can be a good guide... Any kind of pressure and threats on Afghans in the last 20 years has failed and just increased the crisis," Taliban said in a statement.
The Islamic Emirate of Afghanistan - the name the Taliban give their government - is the "legitimate government of the country and the representative of the brave Afghan nation", the statement said.
No country has recognized Taliban, who took over Afghanistan with a speed and ease that took the world by surprise, following which President Ashraf Ghani fled the country and his government collapsed. The US led forces left two weeks later in chaos.
Taliban statement called on the international community to allow Afghans to have an independent Islamic government that has a positive interaction with the world.
The international community has pressed Taliban on human rights, particularly those of girls and women whose access to school and work has been limited. It has also urged Taliban to stopping harassing critics, activists and journalists.
The Taliban say they are discussing the matter of girls' education and deny cracking down on dissent.
Fireworks lit up Kabul sky on Tuesday night on the first anniversary of the withdrawal of foreign troops which Taliban are marking as "Freedom Day".
Wednesday was also a public holiday, with small celebrations across Kabul including parades by Taliban forces.