Stand To Reason, an apologetics organization designed to provide training and resources in the rational and philosophical defense of Christianity, has just started its own channel on YouTube. They have uploaded many videos on subjects such as the relationship between faith and reason, the meaning of tolerance, and the problem of evil. The videos are short, ranging from 30 seconds to 4 minutes, each answering a specific question about Christianity and culture. These are great resources and I encourage you to check them out, and also to poke around STR’s website:
Here are two sample videos; The first is Greg Koukl answering the question, “Did God create evil?”
The second is Greg answering the question, “If God is all-powerful, why is there evil?”