Choosing the "better" college really depends on what's most important to you, as each of these institutes has its own strengths and might be a better fit for different priorities. However, we can look at some general factors to give you a comparative overview for CSE.

Generally, BIT Patna tends to have a slightly longer establishment history and a relatively strong alumni network compared to the newer IIITs. It might also have better-established infrastructure in some aspects. When it comes to placements specifically for CSE, BIT Patna often has a decent track record, with some good companies visiting the campus.

Among the IIITs, it's a bit more nuanced as they are all relatively young. IIIT Dharwad and IIIT Kalyani have been showing promising growth in terms of placements in recent years, and they are often mentored by well-established IITs (IIT Dharwad by IIT Bombay, and IIIT Kalyani by IIT Kharagpur), which can be an advantage in terms of curriculum and faculty support. IIIT Bhagalpur has also been making progress, and its location might offer some regional advantages.

IIIT Agartala and IIIT Senapati are among the newer IIITs and might still be developing their infrastructure and placement records. While they are part of the IIIT system, which focuses on IT and technology education, they might not yet have the same level of established reputation or placement statistics as some of the others on this list.

IIITV-ICD (IIIT Vadodara International Campus Diu) is a bit unique as it's an extension campus. While it operates under the IIIT Vadodara umbrella, its infrastructure and placement opportunities might differ from the main campus. It's worth looking into the specific resources and placement cell for the Diu campus.

Ultimately, the "better" choice will be the one that aligns best with your individual priorities and preferences.

With a 71.69%ile in JEE Main, your chances of getting into a third-tier NIT or IIIT are possible, especially for less competitive branches like Civil or Mechanical Engineering. However, for high-demand branches like CSE, the chances are low. It depends on the specific NIT/IIIT and their cutoffs.