In episode two, the Irwin family leave the 60s behind to enter the 70s and go on to discover how a new generation of black Britons forged their way through the next three decades of British history. The family are guided by presenter Giles Coren and social historian Emma Dabiri, who introduce them to the first house they will own and the events of the time. In 1976, the family bat an over with cricketing legend Sir Clive Lloyd and learn about the famous cricket tour in which Sir Clive led West Indies to victory. Moving forward to the 1980s, the Irwins reflect on the Brixton Riots, Lovers Rock star Janet Kay brings a gift to the Irwin's home and the family join her in a sing-along. To see out the decade, daughters Breanne and Tiana invite their friends along to experience a typical party in 1989 style with DJ and producer Jazzie B. Finally, the family experience the Notting Hill Carnival in 1999 as they reflect on what they have learnt from their time-travelling experience.

In 1959, the whole family get a lesson in 1950s steel pan from Eastenders star Rudolph Walker, and in 1962, dad Weininger gets some fashion tips from 60s singer Kenny Lynch. In 1966, mum Janice embraces her role as a nurse at a time when the NHS recruited directly in the West Indies for staff. As the family's living situation improves over the years, they decide to see the 60s out with a blues party.