1. When you are making suggestions, they have the same meaning:
What should we have for dinner?
How about pizza?/What about pizza?
2. 'What about xx?' can also mean 'Wait a moment. Haven't you forgotten xx?'
For example:
All our cousins are coming to the party - Fred, Joe, Lisa and Ann.
What about Harry? You haven't forgotten him, have you?
No. I asked Harry, but he can't come.
You can't use 'How about..?' in this sense. You can only use 'How about..?' for suggestions.