I don't know how well the 'Six degrees of Kevin Bacon' game is known on this list, or how familiar we all are with the Oracle of Bacon at Virginia (http://oracleofbacon.org/).
The basic premise is that all actors can be linked to Kevin Bacon, via actors that featured alongside them in a given film and films these actors featured in, and so-on. Each film is a step closer to Kevin Bacon.
That's probably not very clear, but if you take a look at the website it should make sense.
Okay - back to Bernard Cribbins. It's possible to use the Oracle of Bacon to search between any two actors, so I gave Mr. Cribbins a go against each of the Doctors.
The remarkable result was that I found that Bernard Cribbins has worked with half of the Doctors so far and those he hasn't worked with are only one step away.
If we cheekily count Peter Cushing as a Doctor, then we can say that Bernard Cribbins has appeared with most of the Doctors - a pretty impressive achievement.
Here are the results of my queries -
The Oracle says: william hartnell has a bernard cribbins number of 1.
William Hartnell was in Yangtse Incident: The Story of H.M.S. Amethyst (1957) with Bernard CribbinsThe Oracle says: patrick troughton has a bernard cribbins number of 2.
Patrick Troughton was in Hitch in Time, A (1978) with Jeff Rawle
Jeff Rawle was in Blackball (2003) with Bernard CribbinsThe Oracle says: jon pertwee has a bernard cribbins number of 1.
Jon Pertwee was in Carry on Columbus (1992) with Bernard CribbinsThe Oracle says: Tom Baker (I) has a bernard cribbins number of 1.
Tom Baker (I) was in "Canterbury Tales, The" (1998) {The Journey Back (#2.1)} with Bernard CribbinsThe Oracle says: Peter Davison (I) has a bernard cribbins number of 2.
Peter Davison (I) was in Black Beauty (1994) with David Ryall
David Ryall was in Blackball (2003) with Bernard CribbinsThe Oracle says: Colin Baker (I) has a bernard cribbins number of 1.
Colin Baker (I) was in Dangerous Davies: The Last Detective (1981) (TV) with Bernard CribbinsThe Oracle says: sylvester mccoy has a bernard cribbins number of 2.
Sylvester McCoy was in All the Fun of the Fair (1979) with David Boyce (I)
David Boyce (I) was in Carry on Columbus (1992) with Bernard CribbinsThe Oracle says: Paul McGann (I) has a bernard cribbins number of 2.
Paul McGann (I) was in FairyTale: A True Story (1997) with Christopher Godwin
Christopher Godwin was in Blackball (2003) with Bernard CribbinsThe Oracle says: Christopher Eccleston has a bernard cribbins number of 2.
Christopher Eccleston was in 28 Days Later... (2002) with David Schneider (IV)
David Schneider (IV) was in Blackball (2003) with Bernard CribbinsThe Oracle says: David Tennant (I) has a bernard cribbins number of 1.
David Tennant (I) was in "Doctor Who" (2005) {Voyage of the Damned (#4.0)} with Bernard CribbinsThe Oracle says: peter cushing has a bernard cribbins number of 1.
Peter Cushing was in Daleks' Invasion Earth: 2150 A.D. (1966) with Bernard Cribbins
I suppose this is pretty sad really - sorry about the geekiness of this post.
Will try to do better in future.
Andrew