Both of these colleges are a top notch colleges and pretty hard to differentiate on the basis of academics. Both these colleges have one of the best faculties of Sociology and Political Science.

But if you consider externally then you can differentiate a bit. From Infrastructure point of view, Miranda House is better than Lady Shri Ram.

Moreover Miranda being a North Campus college is pretty boon for the students who wants to enjoy various fests and all.

All the best!!