There have been two Baronetcies created for members of the Beckett family, both in the Baronetage of the United Kingdom. Both creations are extant as of 2008.

The Beckett Baronetcy, of Leeds in the County of York, was created in the Baronetage of the United Kingdom on 2 November 1813 for John Beckett. His grandson, the fifth Baronet, was created Baron Grimthorpe

Baron Grimthorpe

Baron Grimthorpe, of Grimthorpe in the East Riding of the County of York, is a title in the Peerage of the United Kingdom. It was created in 1886 for the lawyer and architect Sir Edmund Beckett, 5th Baronet, with remainder to the heirs male of his father. He was succeeded according to the special...

 in 1886. For more information on this creation, see this title.

The Beckett Baronetcy, of Kirkdale Manor in Nawton in the North Riding of the County of York, was created in the Baronetage of the United Kingdom on 28 June 1921 for the newspaper proprietor and Conservative

Conservative Party (UK)

The Conservative Party, formally the Conservative and Unionist Party, is a centre-right political party in the United Kingdom that adheres to the philosophies of conservatism and British unionism. It is the largest political party in the UK, and is currently the largest single party in the House...

 politician Gervase Beckett

Sir Gervase Beckett, 1st Baronet

Sir William Gervase Beckett, 1st Baronet , born William Gervase Beckett-Denison, was a British banker and Conservative politician.-Business Career:...

. He represented Whitby

Whitby (UK Parliament constituency)

Whitby was a parliamentary constituency centred on the town of Whitby in North Yorkshire. It returned one Member of Parliament to the House of Commons of the Parliament of the United Kingdom, MP elected by the first past the post system.-History:...

, Scarborough and Whitby and Leeds North

Leeds North (UK Parliament constituency)

Leeds North was a borough constituency in the city of Leeds, West Yorkshire, which returned one Member of Parliament to the House of Commons of the Parliament of the United Kingdom, elected by the first past the post voting system.-History:...

 in the House of Commons

British House of Commons

The House of Commons is the lower house of the Parliament of the United Kingdom, which also comprises the Sovereign and the House of Lords . Both Commons and Lords meet in the Palace of Westminster. The Commons is a democratically elected body, consisting of 650 members , who are known as Members...

. Beckett was the nephew of the first Baron Grimthorpe and the younger brother of the second Baron. As of 2008 the baronetcy is held by his grandson, the third Baronet, who succeeded his father in 2001. He is also in remainder to the Beckett Baronetcy of Leeds and the barony of Grimthorpe.

Beckett Baronets, of Kirkdale Manor (1921)

• Sir (William) Gervase Beckett, 1st Baronet (1866-1937)
• Sir Martyn Gervase Beckett, 2nd Baronet (1918-2001)
• Sir Richard Gervase Beckett, QC
  Queen's Counsel
  Queen's Counsel , known as King's Counsel during the reign of a male sovereign, are lawyers appointed by letters patent to be one of Her [or His] Majesty's Counsel learned in the law...
  
  , 3rd Baronet (b. 1944) - Currently at 3 Raymond Buildings, London, UK along with fellow baronet and Head of Chambers Sir John Nutting QC
  Nutting Baronets
  The Nutting Baronetcy, of St Helens in Booterstown in the County of Dublin, is a title in the Baronetage of the United Kingdom. It was created on 12 January 1903 for John Nutting. He was Chairman of the firm E and J Burke Ltd and a Justice of the Peace, Deputy Lieutenant and High Sheriff for County...
  
  - http://www.3raymondbuildings.com/members.asp?mid=4&education=1&link=1