It depends on what you are comparing with each other!
Compared to .../ compared with...
But regarding to your example; I think :
This is nothing compared to that!
Ps:
Compared with is usually referring to two objects of similar classification (e.g., dogs to dogs and cats to cats). Within this similar order, the user is speaking of the differences between the two objects of comparison.(Use compared with to examine both similarities and differences)
Compared to is referring to two items in different classifications (e.g., dogs to cats or cats to cars). In these differing classifications, the user is pointing out similarities between the two seemingly unrelated objects.(Use compared to when stressing similarities between the items you are comparing)
-the economy can be compared to a horse charging at the gate.
-He compared the chocolate chilli chicken to the dog’s dinner
-home prices went up 3.7 percent, but that's nothing compared to the last year.
-A new study shows that the current California drought is nothing compared to what's coming
-it would be interesting to compare Tokyo with Rome.
-Australia is in a good economic position compared with other many other countries.
-The house has lots of visible stained glass and an entryway flanked by finely carved pillars, but that's nothing compared with the overwhelming mishmash of patterns and period details within.
Parsi have been compared to ancient Athens, but it maybe compared with modern London.
In Comparison to, in comparison with:
These are commonly used interchangeably, and the distinction between them is a small one.
"In Comparison to" should be used when comparison is made between specific people, things, or other instances.
Example: John is an excellent student in comparison to his shiftless brother Mike.
"In Comparison with" should be used when comparison is made to a group or an indefinite (i.e. uncountable) entity.
Example 1: John is an excellent student in comparison with the rest of his class.
Example 2: John has excelled in school in comparison with what I feared.