I only know that H2O2 can do this. But what about others? Also, is there a book in which I can find all these reactions associated here?

 

Yup, you need a list of redox potentials. Standard fare in just about any chemistry textbook.

 

Can you suggest any such book?

 

But according to it, KMnO4 should also do the same thing here as done by K2Cr2O7, but actually it doesn't. Why?

 

You’re asking a chemistry 101 question. Do you not have a textbook?

 

Yes I have. I also found the list of potentials. But if you will see the reaction of KMnO4, it will not produce I2.

 

But according to it, KMnO4 should also do the same thing here as done by K2Cr2O7, but actually it doesn't. Why?

You need to write out your half reactions in acidic and alkaline media.