Some really good posts in this thread. A solid thumbs up to the Jamerson recommendation - although his playing isn't "funk" it pushes syncopated groove hard and fast. Listening to him will help you understand HOW and WHY modern bassists (not just funk players) groove the way we do.
Another big up to the recommendation to check out contemporary groups - funk is alive, funk is well, funk is everywhere. The mid-nineties saw a revival of funk and soul jazz, a mixing of the two genres which has produced some great music. Check these records out:
John Scofield - A Go Go
Wil Blades - Sketchy
Soulive - Steady Groovin'
Lettuce - Rage!
Galactic - Coolin' Off
The RH Factor - Hard Groove
In addition,
www.archive.org is a TREMENDOUS resource for any musician. Free streaming/downloadable live shows uploaded by users. Head over there and be sure to check out these groups:
Soulive
Fantastic 4
Pocket
Will Bernard and Motherbug
Beau Sasser Trio
Left Ear Trio
Sam Kininger Band
All of these artists throw down a serious dose of funk, jazz and groove. MAN.
And check these two guys out - Chris Loftlin and Louis Cato. You will not be able to handle the amount of groove thrown in your face. I'll link to a recording with Cato on bass... check out his playing under the organ solo.
Eric Krasno - Get Back:
Go forth, listen until your ears ache, play until your fingers do too, rinse and repeat.
EDIT - Man, that Maceo Parker video is killin'. Thanks for sharing!