This is a video of an interesting debate between a Muslim and a Christian that you may like even though it's pretty old. The Muslim speaker is Jamal Badawi and the Christian is a Palestinian Christian, Anish Shorosh (who seems to be quite a wacko head apparently). Nonetheless, in this debate, you will hear a lot of arguments made against the fundamental Islamic beliefs which are very common especially today in the media and in the claims of non-Muslims and atheists. However, the Muslim debater give a clear and direct answer to each of the anti-Islamic arguments brought forth and does it very confidently and wisely.
There are more parts to it, but here is one of the parts, and I found the debate most interesting starting from 18:55 and onwards:
The Quran: Word of God or Muhammad? (4 of 8)
Here is the next part where he continues to talk about the challenge of the Quran to the non-believers.