The first time I remember The Doctor being compared to the Daleks is from the Ninth Doctor episode Dalek --- the introduction of Daleks in the relaunch.
The comparison is not is made explicitly on-screen; Although stated directly by the Dalek, it is only strongly implied by his companion (Rose) that The Doctor's intense hatred for the Daleks makes them similar in spirit.
From Nine's reaction I read that he has nothing to retort and finally is forced to accept.
First accusation made by the Dalek:
Nine: [..] Why don't you finish the job and make the Daleks extinct?! Rid the universe of your filth!
Nine (screaming and spitting): Why don't you just die!
(pause)
Dalek (calm): You would make a good Dalek.
Later restated indirectly by Rose:
Nine: That thing killed hundreds of people.
Rose: It's not the one pointing the gun at me---
Nine: I've got to do this; I've got to end it [...] I've got nothing left.
The next time the similarity is hinted at:
Rose: [...] it's changing. What about you, Doctor? What the hell are you changing into?
And the Dalek later goes on to note:
Dalek: [...] I am the last of the Daleks [...]
A reference to The Doctor being the last of the Time Lords, and his previous statement about having nothing left.
The canonicity of this comparison might be challenged though, as that particular Dalek was somewhat "broken" and more accessible than regular Daleks since it absorbed some of Rose's features when it regenerated.