How to show each type of content-types just one time?
I hope I understand your question. Do you want to use the Type of the node as header for a collection of nodes?
So:

Sport
Node 1
Node 2
Node 3

Health
Node 4
Node 5

Economy
Node 6

What I would do is use the Views field view module. First make a view for all three groups, so you have three views one for Sport, one for Health and one of Economy. Give them all a header with the Type name. Then add all these views to one view with this module.