If you are flexible enough you may consider these cheap British Airways flights from UK to Iceland during main tourist season 2016! Only for limited travel dates in June and July 2016 you may consider to book return flights from London to Reykjavik already for £84! Please note that only hand luggage is included in the lowest fare. Additional checked in luggage is available for £15 per flight. Take this opportunity to explore unique nature of beautiful Iceland in peak season for such a low fare..
As mentioned if you want to benefit from this current British Airways promotional sale you may find the cheapest flights from London to Iceland between June and July 2016. If you would need to book your accommodation in advance you may use service of booking sites such as Hotelopia or Venere. As this deal with British Airways is an attractive solution not just for travelers in UK you may check connection flights from your home city through Skyscanner.
Booking sample
London - Iceland for £84 (directly with British Airways, travel dates as per below sample)
Travel date samples
3. - 12.6.2016
15. - 26.6.
24.6. - 3.7.
3. - 10.7.
15. - 20.7.
24. - 31.7.
Booking sample of cheap British Airways return flights from UK to Iceland for £84 here. In this case you would be departing from London to Reykjavik on 22nd of July. Your return flight from beautiful Iceland back to UK would take place on 31st of July 2016.