Looking on the internet deeply has found these results:

successful cases is the most popular phrase on the web.

success case 1341,000 results on the web	successful cases 1727,000 results on the web More popular!
Some examples and use cases from the internet:	Some examples and use cases from the internet:
an increase almost entirely due to our success in the solinsky case. Mr. Scott's success in that case was obviously due to his having received prior information concerning our plans. In addition, the draft Regulation stipulates analyses into further steps with a facilitated (Comitology) procedure in case of success. Chances of success in this case are very bleak. Our billables are up by 10% this quarter There have been success cases in other countries. Success in this case can not be defined in absolute terms. What was the success rate in cases already heard?	It doesn't look like this phrase is very popular! The search could not find any examples on the internet.

success case

1341,000 results on the web

successful cases

1727,000 results on the web

More popular!

an increase almost entirely due to our success in the solinsky case.
Mr. Scott's success in that case was obviously due to his having received prior information concerning our plans.
In addition, the draft Regulation stipulates analyses into further steps with a facilitated (Comitology) procedure in case of success.
Chances of success in this case are very bleak.
Our billables are up by 10% this quarter
There have been success cases in other countries.
Success in this case can not be defined in absolute terms.
What was the success rate in cases already heard?

It doesn't look like this phrase is very popular! The search could not find any examples on the internet.