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No, the only categorisation that is evident from this post is that you have got way too much free time in your hands and very little idea about the industry or academia.
This is the only appropriate response to questions like this.
NLS, NALSAR and SAM, CAM, AZB at the very least. Although we are far from true ivy leagues and magic circle firms.
Indian Magic Circle: CAM, SAM, AZB, Trilegal, KCO

Indian Silver Circle: JSA, Indus, S&R, Luthra, NDA

Indian Ivy League: IIT, IIM, AIIMS, NLSIU (only 1 NLU)
KCO has the highest revenue by far, should be the prima donna. Rest of these firms are slowly withering away - look forward.
Ivy League: NLSIU, NALSAR, NLUD, with GNLU as a possible entrant in the next 5 to 10 years.
No such equivalent cause NLSIU , NALSAR , NLU delhi etc are no where near prestigious as Yale Law , HLS , Stanford law , Berkeley , Upenn etc .
Even within these, Harvard, Yale and Berkeley are hyper-elite. Stanford is good but only for IP law. UPenn is great but nowhere near as great as the other three.
Since when is NLU D considered Indian Ivy league? NIRF and QS rankings are the biggest joke in the world.