I would disagree on some counts.
From late July to about 23rd August 1995 there was an exceptional heatwave in the south. Long runs of high temps including plenty of 30c+ days led to the hottest mean monthly max in Southampton- beating any calendar month in 1976.
You don't mention July 1983- yet at the same station, which incidentally was by the water, the mean max of above 26C was accompanied by a mean min of over 16C.
I was surprised July 2006 was given such a high accolade at the time- there was a hot spell for 4 days, then a little heatwave for 6 from 16th-21st and a less exciting event in the following week.
July 2013 delivered over a week of temperatures of 27+ except 20th.
2003 was quite exceptional as you say, but this spell, although spread across 2 calendar months, is looking like tupping all but 76, July 83 and 95 for longevity. The intensity is not there though.
Unlike drought, there doesn't seem to be a defined heatwave.
Bertie, Itchen Valley.
Retire while you can still press the 'retire now' button.