Anyhow, back to the topic. I once had a colleague, with a Ph. D in aerospace engineering from a respected engineering school in UK, who believed in the conspiracy theory. He was very misinformed, for example, he thought Apollo 11 was the only landing ever done, etc.
I think, as Emoni said, critical, inquisitive mind is always good, as long as they are logically sound. But the arguments put forward in the video ChrisGR posted are quite childish and they keep moving the goalpost. Ok I have only seen the first three videos but they were all laughable arguments, like, comparing the F1 engines and the LM descent rocket, etc.
About the Asahi article bakaKanadajin posted at the beginning, I don't buy the part where the author claims the Japanese lunar surveillance craft (Kaguya/SELENE) attempted to get images of the lunar landers. The HDTV camera on board SELENE is nothing more than a civil-grade HD camera, to be used from the lunar orbit, and as a result it only has the resolution of 100m or so. It did however find the mark on the ground left by the LM ascent rocket, using a different imaging equipment.
The LRO mission is supposed to capture higher resolution images in the coming weeks (I think?), so we'll see.