Dead Ringers, the Radio 4 series and now, I understand, the BBC TV series, are an impressions show, and they regularly have someone posing as Tom Baker, in his guise of the 4th Doctor Who, phoning up people (like travel agents and things).
They recently phoned up Tom Baker himself (this link via Neil Gaiman, who should hurry up an get an RSS feed so I can read his journal in comfort).
I feel Tom Baker was somehow expecting this for some time - and it showed.