Presently, only one college comes under the NLSIU tag and it is number one on the list. In order to get into NLSIU Bangalore, you have to make sure that your rank falls between AIR 1 to AIR 30.
Surely, there are other colleges as well that you can get into after cracking CLAT, the ones with the NLU and NALSAR tag. Here are some facts you should know about NLU.
Therefore try working harder for your CLAT exam, as the better your rank will get you admitted in your preferred colleges.