Sunday saw a total of 22.5 million requests across all programmes, pushing the total number of views since the lockdown was announced on 23 March to 927m.
The BBC's iPlayer is the UK's most popular streaming and catch-up service and will be used to deliver new content, including live radio shows and music performances.
The BBC will be able to keep future shows on iPlayer for at least 12 months after striking a new deal with independent producers.
The new additions follow the recent return of past hits such as Spooks, French and Saunders, Wallander and The Honourable Woman.
Spooks redefined modern drama when it debuted in 2002 with its tense stories of MI-5 racing against time to shut down imminent threats to national security.