Updated Scoreboard:

bean_is_a_carrot: 2
hollycat: 3
Liz: 5
Bennythump: 6
Mazzanda: 6
Bramble: 13
Nezangel: 15
Edna: 15
SkinheadSkippy: 26

I've come across a problem with determining the winner. As per the rule book, the winner is the player with the least amount of points at the end (whenever that may be). However, if a person only plays one round, and gets only two points, then that could easily make them the winner. So i'm putting it forward to the players that perhaps another rule should be enforced where, to be eligible, you must participate in at least three rounds. Does that sound fair? This means the group, and the game, would be protected from someone jumping in towards the end and stealing the crown (jewels) from those who have played from the beginning.

Tim Robbins was in Erik the Viking with Terry Jones who was in It's Marty with a Mr. TBT.

(avoided obvious John Cleese link there)

Next person is Lee Mack

Angelina Jolie was in Tomb Raider (1 & 2) with Chris Barrie who worked on Spitting Image along with John Sessions who was in Whoops Apocalypse with Graeme Garden & he has, on the odd occasion, worked with TBT!! 
Next actor - Tim Robbins

Yep, I will go with my second answer..

Okay...my actor is

Angelina Jolie

Would you like to use your second link as your answer?

"Lock in D, Eddie."

And guess what - now you get to choose the next actor! Yippee-i-oh!

Or Dominic Monaghan on this "6 Degrees" path:

1. Dominic Monaghan (Hettie Wainthrop Investigates) with  2.  Patricia Routeledge (Keeping Up Appearances) with 3. Geoffrey Hughes (Carry on at Your Convenience) with 4. Sid James (Bless This House) with 5. June Whitfield (The Goodies “Wicked Waltzing”) with 6. Tim Brooke Taylor.

So many options with these British actors and performers. 

I don't know if I have done this right, but these were the 6 degrees I could find with Dominic Monaghan:

1. Dominic Monaghan (Hettie Wainthrop Investigates) with  2.  Patricia Routledge (When We were Married) with 3. Ronnie Barker (The Two Ronnies) with 4. Ronnie Corbett (the Monty Python Story Doco – and prior association) with 5. John Cleese (Cambridge Circus) with 6. Tim Brooke Taylor.

There were a few paths that I could take, but this was the most direct route to get the 6 degrees (Patricia Routledge could take one anywhere )

Oh yeah...I always forget to suggest the next one. 
How about Dominic Monaghan (Hobbit extraordinaire!!)

*applauds* Got our next actor for us?

There's bound to be a shorter version, but here's what I've come up with:
Cloris Leachman was in Butch Cassidy & The Sundance Kid with Robert Redford who was in Sneakers with Dan Aykroyd who was in The Rutles with Eric Idle who did At Last The 1948 Show with... you guessed it!!