One of the core mandate upon which bitcoin is built is the feature of transparency, so the talk of excluding the aspect of traces should not even be considered an option, i think what people normally tend to do is to see how the privacy can be improved and not think of deleting or erasing the records or transaction histories. One of the method out there that helps in breaking the link between addresses and still try to maintain the on chain activities to be visible is CoinJoin. Another thing that can add some layer to it is by using swaps or exchanges but it is sorely dependent  on the fact the platforms keep their logs. Another thing to keep in mind is to understand the fact that bitcoin is by design very traceable and the analysis can be made hard by some privacy tools but at the end of the day it doesn't make the transaction invisible.