With eleven incarnations, everybody has their own Doctor. I admit, it was during David Tennant's run that I originally started watching Doctor Who. I have always been a fan of time travel stories since I was little (I once tried to make my own time machine out of waffle blocks, a skateboard and a clock taped to my vehicle). And while I was aware of the older Doctor Who series, it wasn't until the new series premiering in 2005 that I really had a chance to watch it. Produced by Russel T. Davies and starring Christopher Eccleston, the revamped Doctor Who proved popular enough to continue past the first series. But it wasn't until Tennant took over the role that it really found its voice.
You see, Doctor Who has a tradition of running a special, a mostly standalone, extended episode around Christmas. During the Davies years, they have all been defined by giant invasions of tragedies. Just like most of the normal episodes, there was high stakes and high drama to be had by all. Whether it's an alien invasion, Victorian Cybermen or a futuristic Titanic disaster, Davies always struggled to tell huge stories with lots of sacrifice and action. These qualities define Davies' time as showrunner, with the world always in peril every week and the Doctor always there to save it. The Doctor became a messianic figure under Davies, and there is nothing fun about a messianic figure.
Ignore the giant eyeball and just listen to the speech.