Over the years there have been many official Doctor Who games, mainly online. Recently the BBC have announced 4 games which will be available to download for free (UK only).
Blood of the Cybermen
City of the Daleks Guide
TARDIS game Guide
The Mazes of Time
Dalek Colour Changer
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Episode OneCity of the Daleks
Episode TwoBlood of the Cybermen
Episode ThreeTARDIS
Episode FourTBC
Colour ChangerMake your own Dalek
Cyber CreatorCreate your own Cyberman
Dalek GameVictory of the Daleks
Waters of MarsWaters of Mars Game