St Elizabeth's achieved outstanding results in this year's tests after being highest-placed last year.
All 30 Year 6 pupils reached level 4 in English and 63 per cent reached level 5. In maths, 93 per cent reached level 4 English and 47 per cent level 5.
Christine Brett, headteacher, said: "What we don't do is only teach the core subjects. When children are happy and stimulated across a broad range of subjects they do better."
The school's 2000 Office for Standards in Education report said it was not a "hot house" of learning, but one where teachers plan interesting and varied learning experiences.
Ms Brett said: "I have no issue with testing and parents knowing results for their own child or for the school, but I don't think turning those results into local league tables is right.
"It is unnecessary and does more damage than good."