These are all my personal beliefs, I don't intend to use them to proselytize to anyone.
Why won't God heal amputees?
He is unable to do so.
Why are there so many starving people in our world?
A number of reasons. None of them divinely related: I don't believe in a God of any physical power- it's irreconscible with the idea of a benevolent God. Instead, my God suggests, but is physically unable to directly impact the stage.
Why does God demand the death of so many innocent people in the Bible?
Because that wasn't God- the overwhelming chunk of the Old Testament is the equivalent of mythology.
Why does the Bible contain so much anti-scientific nonsense?
I'm no historian, but I can't help but wonder if ancient priests constructed those passages in order to make themselves invulnerable against fledgling science.
Why is God such a huge proponent of slavery in the Bible?
Because ancient peoples concocted or imagined those passages to protect their malevolent practices.
Why do bad things happen to good people?
For wont of a better term, "bad luck." Luck, of course, doesn't actually exist, but I hope my meaning has gotten across. Of course, people who are open and giving, the good people, are more easy to take advantage of. Again, my God suggests, he does not have the final say over bad things happening to good people.
Why didn't any of Jesus' miracles leave behind any evidence?
I wouldn't be able to recite a list of miracles off, so I'll keep my silence, but again: I do not believe that a benevolent God can be reconsciled with the belief in a god of any manifest power, therefore any miracles than require physical change outside of human means (ex: regrowing limbs) simply did not occur.
How do we explain the fact that Jesus has never appeared to you?
Again, I believe in a God of suggestion: I think that suggestion occurs, but I don't think anything as real as Jesus literally walking in the door could occur.
Why would Jesus want you to eath is body and drink his blood?
If that actually did occur (out of an idle curiousity, does that passage exist in all four Gospels?) I can't imagine Jesus remotely intended it to become Communion as we know it today.
Why do Christians get divorced at the same rate as non-Christians?
Probably for the same reasons that non-Christians divorce. I can't think of any reason that a union involving faith would be any more stable.