Gujarat

This is a list of coaching centers available:
But this list is not ranked, it just gives all options available. So research a bit before enrolling. Check for reviews on net and talk to some students in those institute.
1. Bansal Institute for Excellence
Bansal have a best coaching classes in Ahmedabad and with the good teachers and faculties.
2. Brainquest Science Academy
Brainquest academy focused on the basic concepts. The faculty totally focused on concepts learning approach Brainquest academy discipline and on time. Due to quality management now Brainquest offers coaching in many courses but its focus has been on IIT JEE since inception.
3. Career Point
Career point is good is good institution in Ahmedabad he teach students by good books and updated syllabus. All teacher are good and experienced in field. Career point has been guiding students for IIT JEE since edges and performance of students at coaching is good.
4. Precept
Precept Academy is effort you put in will determine your successful life in your career and personal life. The teachers have good subject knowledge and are guiding you well.
5. Abhyas
Abhyas is perfect in IIT-JEE, JEE Mains, AIMT by the best faculties, they have experience ever had to introduce to your hidden talents. Although Triumph Academy focus was on CAT coaching's but its gaining popularity brought it in IIT JEE coaching and its doing good for students who are preparing for IIT JEE.
6. Abhyas Practice for IIT-JEE
7. .S.N. Enterprise
8. B.R. Tution Zone
9. Aakash Educational Services Ltd.
10. Nirva Maths Group Tuition
Again: Don't use this as final list, do your own research before enrolling.

Both the colleges are newly established in PPP (public private partnership) model. Now if you want to compare these two colleges you can compare using certain parameters:
1. Location: Sricity is not a very big city not so behind Vadodara.You may choose one which is nearest to you home town.
2. Infrastructure: Both the colleges are new and infrastructure is just average.
3. Quality of crowd: Cutoff for both the colleges are similar. Students of IIIT Sri City are bit talented. Mentor Institute of IIIT Sri city is IIIT Hyderabad so one can easily understand the importance of being there. Coding culture is good there.
4.Faculty and Placement: Both the institutes are equally in terms of placement. Stats may vary every year.
I will recommend you to choose IIIT Sri City over IIIT Vadodara just because of its mentor institute (IIIT H).