There are too many to mention, just to name a few not much mentioned:
Double Bass - Jazz
Paul Chambers. The father of all others
Scott La Faro: The father of Jaco
Ray Brown: The father of Swing
Eddie Gomez: The Father of Tone
Niels-Henning Orsted Pedersen: The Father of Virtuosism
Christian McBride: He can do it all
Electric - Jazz - Fusion
Jaco, of course
Richard Bona: Truly a MUSICAL genius
Mathew Garrison
Anthony Jackson, the Great
The Pre-Miles Marcus Miller
Gary Willis
Jimmy Haslip
Doublers
John Patitucci: The first one and still one of the best.
James Genus: Really versatile.
Stanley Clarke (Just his Upright work

Brian Bloomberg
Virtuosos
The Jazzier side of Michael Manrig
Dominic dePiazza. Genius.
Jeff Berlin (sometimes...)
But I have to say that I'm not really into this stuff...
Funk - Soul
James Jamerson. The father of Tastefulness
Rocco Prestia: The father of Groove
Bernard Edwards: The father of funky BASS LINES
Bootsy Collins: THIS (and not Mark Hoppus's

is attitude)
Louis Johnson: Funky God
Jerry Jemmott: Soul God
Paul Jackson: Bizarre Funk God
Rock
John Paul Jones
John Deacon
Paul McCartney
(And not many more...

)
Latin
Carlos del Puerto (from Irakere)
Oscar Cartaya, a great solist too
Sal Cuevas, an innovator on the genre
Eddie "Gua gua" Rivera, the master of Tumbao
...And many more
Flamenco
Carlos Benavent (with Camaron or Paco de Lucia; check Jazzpaña Vols I & II too)
Camilo Edwards (check "De aki a Ketama" album)
Others
Stuart Zender, Jamiroquai
Jonathan Maron, from Groove Collective
Doug Rauch, a great innovator
Stevie Wonder's left hand!
Kai Eckhart, with John Mclaughlin Trio or Trilok Gurtu
Julian Crompton: Incognito, Down to the Bone
Tomasz Grabow, the guy from Funky Groove - Check it out!
Johan Asmundson, from Mezzoforte
Gene Perez, from Masters at Work
Ranud Garcia Fons: Master of double bass harmonics