We can find many great Colleges in Bangalore, where CET marks are not Mandatory. You can find private university who conduct their own entrance exams rather consider considering CET.
Example
-DSU (they have their own entrance called DSAT)
-JAIN (DEEMED TO BE UNIVERSITY) (they have their own entrance called JET but they do consider CET also )
-CRIST (they have their own entrance called CUET)
-REVA (they have their own entrance called REVA CET)