Ok, here is the list of some best Private Civil Engineering Universities/ Colleges in India

BITS Pilani
IIIT Hyderabad
PSG College of Technology
BIT, Mesra
Thapar University
VIT University
Manipal Inst. of Technology
Dhirubhai Ambani Inst. of Information & Comm. Tech.
RV College of Engineering
SSN College of Engineering
SASTRA
PES Inst. of Technology
Amity School of Engg & Tech.
Sir M. Visvesvaraya Inst. of Technology (Please see Clarification)
Karunya University
Nirma Univ. of Science & Technology
BIT, Sindri(Pl See Clarification)
Mepco Schlenk Engineering College
Inst. of Technology & Management
KIIT University
ICFAI Institute of Science & Technology
Kongu Engineering College
Amrita School of Engineering
MS Ramaiah Institute of Technology
Bangalore Inst. of Tech.
Velagapudi Ramakrishna Siddhartha Engg College
GITAM Inst. of Technology
Hindustan College of Engineering
Sona College of Technology
Babu Banarasi Das National Inst. of Tech. & Mgmt
Chaitanya Bharathi Institute of Technology
Sreenidhi Inst. of Science & Technology
BMS Inst. of Technology
Yeshwantrao Chavan College of Engineering
Shri Ramdeo Baba KN Engg College
Galgotia's College of Engineering & Technology
Vishwakarma Institute of Technology