The pro-democracy campaigner spent part of her 67th birthday at the London School of Economics where she took part in an academic panel discussion on human rights and the rule of law in her country.
Talking about Myanmar's government's reform promises, she told her audience: "Time will not heal. There has to be acknowledgment" of the wrongs of the past.
"The progress we hope to make with regard to democratisation and reform depends so much on an understanding of the importance of the rule of law," she said.
She later visited the BBC Burmese Service Broadcasting House where she thanked the BBC World Service for "keeping her in touch" during her years of house arrest in Burma.
Former Radio 1 disc jockey Dave Lee Travis, aka "the hairy cornflake", whose BBC World Service show she listened to while under house arrest, was among those who welcomed her.
The Nobel Prize winner moved on to Oxford, where she studied and lived for many years with her late husband, Michael Aris, and their two sons.
She addressed an audience at Oxford University where she received the honorary degree the university had awarded her in 1993 but that she was unable to collect.
She will use her UK visit to meet members from the royal family, including the Prince of Wales and the Duchess of Cornwall and address parliament.
She will also meet Prime Minister David Cameron and Foreign Secretary William Hague.
Suu Kyi's visit to the UK is part of a 17-day European tour which also includes trips to Switzerland, France and Norway.
In Norway, she gave her Nobel Peace Prize speech 20 years after being awarded the prize.
Suu Kyi was freed from house arrest in 2010 and decided to make her current overseas trip after the Myanmar government assured her she would not be prevented from returning home.