It is difficult to list out all universities. But here is a summary. SRM, VIT and BITS offer scholarships to students. Details can be checked here

For SRM check http://www.srmuniv.ac.in/admission-india/engineering/fees/scholarships

For VITEEE

Toppers of each State Board and Central Board - 100% Tuition fee waiver for all the four years.

VITEEE rank holders of 1 to 50 - 75% Tuition fee waiver for all the four years.

VITEEE rank holders of 51 to 100 - 50% Tuition fee waiver for all the four years.

VITEEE rank holders of 101 to 1000 - 25% Tuition fee waiver for all the four years.

BITS - http://www.bitsadmission.com/fdmain.aspx#eligibility

Each state has a tuition waiver scheme but that is subject to annual income of parents. In AP since you belong to Nellore I think :

GITAM GAT - http://www.gitam.edu/gat/about/financial-assistance

Vigyan University:

Tuition Fee waiver       100%       50%           25%

V-SAT (Rank)          1 - 50        51 - 100      101 - 200

EAMCET (Rank) < 8000      8001 - 16000   16001 - 20000

JEE (Adv) (Rank) < 20000  20001 - 35000  35001 - 50000

JEE Mains (Marks) > 170    135 - 169      Qualifying marks - 134

Inter Marks >        975      960-974          950-959

Any other university you have to write back to us.