Which colleges should I prefer if not IIMs and XLRI?

I would definitely recommend such institutes that are categorized within the Top 20 B-Schools of India. These institutes have not been put in any correct order or rank as it tends to fluctuate each year. Because of a standard and perfection like that, the competition to get into such B-Schools is immense and one has to work very hard for it.

Here is the list of colleges you can consider apart from IIM and XLRI.

One good thing about such fine and popular B-Schools is that they know what they are doing. They understand how to mold a student for a particular specialization or even a subject, for that matter.