Jones features in the list in the advertising category and is cited as "the youngest chief executive of a global network". He left Havas this month to launch a new tech start-up.
Sorrell is credited with keeping the UK ad industry "independent and animated", while Ajaz Ahmed, the chief executive of the WPP-owned digital agency AKQA, is listed for identifying "how the internet would sculpt advertising".
Others on the advertising list include: Ben Fennell, the chief executive of Bartle Bogle Hegarty; Murphy, the chief executive at Adam & Eve/DDB; and Cilla Snowball, the group chief executive of Abbott Mead Vickers BBDO.
Lindsey Clay, the chief executive of Thinkbox, is the second of only two women listed in the advertising category.
Debrett's, the company known for its guide to the aristocracy and etiquette, worked in association with The Sunday Times to compile the list of the most influential people, which is based on "exhaustive research".
Also in the Top 500, listed in the broadcasting category are: Adam Crozier, ITV's chief executive; Richard Desmond, Channel 5's chairman; Lord Patten, the BBC Trust’s chairman; and Lord Hall, the BBC director general.
Elisabeth Murdoch, the founder and chairman of Shine, which she sold to News Corporation in 2011, in also in the list, as is David Abraham, the Channel 4 chief executive and Jeremy Darroch, the BSkyB chief executive.
On the client-side, Katie Vanneck-Smith, News UK's chief marketing officer, makes the list for "masterminding the company's paid content strategy". David Pemsel, the Guardian's recently promoted deputy chief executive, is also featured.
Other marketers include: Craig Inglis, the marketing director at John Lewis; Keith Weed, the chief marketing officer at Unilever, and Christian Woolfenden, the marketing director and "boundary-pusher" at Paddy Power.
The full advertising list includes:
Trevor Beattie, founding partner, Beattie McGuinness Bungay
Trevor Robinson, founder and creative director, Quiet Storm
Ajaz Ahmed, chief executive, AKQA
Ben Fennell, chief executive, BBH London
Charles Valance, founding partner, VCCP
Cilla Snowball, group chairman, AMV BBDO
David Jones, former chief executive, Havas
James Murphy, chief executive of Adam & Eve/DDB
Jerry Buhlmann, executive officer of Dentsu and chief executive of the Dentsu Aegis Network
Jonathan Hornby, founding partner, CHI & Partners
Jon Claydon, chairman, Work Club
Jonathan Trimble, chief executive, 18 Feet & Rising
Kevin Dundas, chief executive, Droga5
Luke Taylor, global chief executive, DigitasLBi
Sir Martin Sorrell, chief executive, WPP
Nils Leonard, executive creative director, Grey London
Robert Saville, creative partner, Mother
Stephen Allan, global chief executive, MediaCom
Lindsey Clay, chief executive, Thinkbox
The full list is available on The Sunday Times website.