Well, here is the most often used accusation against the Bible:
The false idea that God is cruel in the Old Testament, and kills innocent people.
There's one to work to combat with the real, full stories with full context from the Old Testament, where God is slow to anger, but won't let evils such as this kind go on forever without ending them:
29 “When the LORD your God cuts off before you the nations whom you go in to dispossess, and you dispossess them and dwell in their land, 30 take care that you be not ensnared to follow them, after they have been destroyed before you, and that you do not inquire about their gods, saying, ‘How did these nations serve their gods?—that I also may do the same.’ 31 You shall not worship the LORD your God in that way, for every abominable thing that the LORD hates they have done for their gods, for they even burn their sons and their daughters in the fire to their gods."
Deuteronomy 12 ESV
This is one example of many key missing pieces that more people need to hear, to combat the widespread false idea that God kills innocent people for no good reason. They also need to hear that for humans, 'death' is only 'sleep', and all will be waken from that sleep!
This would help against the far more common misconception that really is the hard ground or block more people have out there.