How many races has the doctor wiped out or murdered??
the Racnoss
Yes. The Doctor directly threw an explosive into a nest of hatching Racnoss.
Yes. Although earlier it was ambiguous just what the Doctor had done. Later episodes embraced the simplicity of "The Doctor killed his entire race single-handedly in order to eliminate completely the Daleks and put an end to the Time War." But earlier episodes implied the Doctor's actions were more that he was in a position to end it, and although he tried all other options he made the choice to end the war. The Parting of the Ways heavily implied that the Doctor's battle against the Dalek Emperor was very similar to what happened to the Doctor in the Time War, with Earth standing in the place of Gallifrey. The End of Time suddenly introduced the idea that the Time Lords had snapped, and equally needed to be stopped. I prefer the earlier version.
Either way, yes, the Doctor took direct action.
the vampire fish of Venice
No. The Doctor stopped them from leveling Venice. He raised no hand against them, nor took a single one of their lives. The Doctor did not kill or even encourage others to kill the humans-turned-fish. Those deaths occurred completely independently of the Doctor. The Doctor also begged the Matriarch Fish-Lady not to kill herself. Presumably, the males still live in the depths of the waters of Venice, but cannot reproduce.
It is also very possible that their home world, and their lives, were restored when the cracks were fixed.
Either way, the Doctor acted to save Venice. He did kill them or their race.
Helped blow up Mondas the home of the Cybermen.
Again the Doctor didn't exactly seek out Mondas and blow it up. Mondas returned to Earth and invaded. The Doctor worked to defend Earth. Mondas exploded more from its own actions than by the Doctor's hand. It seems to be implied that Mondas would have been blown up with or without the Doctor.
He destroyed all of the Wirren
No idea who they are.
Questionable. The Valeyard tampered with the Matrix and forged evidence. What really happened remains unclear.
A side race of the Silurians
The ones the Brig blew up? Where the Doctor admonished him for his disgusting actions?
The Doctor did not destroy the Gelf. He prevented their invasion. In all honesty, Gwyneth and Charles Dickens prevented their invasion. Now, the Gelf had become seperated from their bodies due to the Time War, but that hardly is the DOctor's single-handed doing. The Doctor tried to help them live on Earth, going against both Rose and Mr. Dickens in his desire to right a wrong of the Time War. The Gelf planned an invasion of force and genocide of the humans. The Doctor was pretty much defeated by them. Dickens saved the Doctor's life, and Gwen blew their portal up. The Gelf remained trapped on the otherside, disembodied.
The Doctor did not kill the Gelf.
If you mean the Dalek race that, aside from the Emperor and the Cult of Skaro, was wiped out by the Doctor. Yep. He sure did.
The Entity known as house, arguably the last or only one of his kind
To imply that something must be so because there is no evidence that it is not so is a logical fallacy. Just because we don't know that there are other lifeforms such as House does not mean he was the last of his kind.
Also, the Doctor did not kill him, the TARDIS killed him when she was separated from the flesh body that House trapped her in.
The Doctor did give his approval due to House having tried to kill him and his companions many times, and due to House being guilty of the deaths of many others, some of whom were Time Lords that were not involved with the Time War.
who else did he slaughter??
I would not describe any of the above as the Doctor slaughtering anyone, aside possibly from the Daleks and his own people.
One thing that I hated (HATED) about the later years of the new series under RTD's guidance was that the Doctor was portrayed as being a bad person. His own doubts and fears about himself were read as being wholly accurate, and Davros's words were repeatedly shown to be more or less accurate.
I don't like when shows such as this, or any, inspect their central characters so much that they find them to be ultimate failures. The Doctor's character is, at its core, a character of pacifism and love. To hold decades of serialized adventures under the microscope and begin to imply that the Doctor is actually this callous being that slaughters innocents and gets innocents to slaughter is not something I agree with.
By the end of Tennant's run, the character of the Doctor was alone, self-hating, and in misery. That's not the tonal direction I feel is at the core of Doctor Who. As a result, I welcomed a change in show runner.
It is as if the old producers had grown weary of their own show. I liken this to the later years of Star Trek where some episodes showed the characters finding space travel and alien races boring, or making criticisms of the Federation. This more likely reflects the weary show runners and production team's feelings than the tonal core of the show. In other words: if you think space travel and science is boring, then maybe you shouldn't be writing Star Trek. If you think the Doctor is a cruel monster and not a force of good, then maybe...
I am not saying that depth and complexity to the Doctor is unwanted. I actually enjoyed the shades of grey drawn into the Doctor during the early episodes of Eccleston and Tennant (both talented actors with great episodes under their belt). I just felt that by the end of RTD's tenure, those shades of grey had turned black, and I personally disagreed with that interpretation of the character and the essence of the show.
Essentially, Intellect & Romnace vs. Brute Force & Cynicism. By the end, the show runners seemed to be cynical about the Doctor himself. In my humble opinion, anyway. Still love 99% of the reruns, still excited for this week's episode.
