I have calls from IIM L, K, New IIM's, NMIMS, IIFT, MDI, IIT-Mumbai, NITIE. What should be my order of preference among these colleges?

It is suggested to reach out to students in these colleges who have a similar profile to yours. This will give you a fair knowledge of the type of companies that visit the campuses.

Do not put your faith in an average package as there is no guarantee that you'll get that much. You can even get a package that's below average.

1. If you're offered IIFT Delhi, take it. But if it's Kolkata, you'll have to think about it. IIFT Kolkata doesn't have a nice campus and the hostels are far away. When you have a full-fledged campus life, the MBA experience is always superior.
2. Choose MDI or IIM K if you are interested in Sales & Marketing or General Management. Choose NITIE if you're interested in Operations, Supply Chain, or Information Technology.
3. NITIE, MDI, and the new IIMs are in no way comparable. The former two are unquestionably superior. Take a look at how many FMCG visit MDI and NITIE.
4. IIT-B (SJMSOM) has a strong reputation even among IITs. The other IITs are on a lower level than the above-mentioned ones.

Go for NMIMS as only your last option. Although many good companies visit this campus, the large size of the batch makes it difficult to grab good offers. Furthermore, their fees are on the higher end of the scale.