Which college is better- BIT Sindri or IIIT Bhuwaneshwar?

You should not make a decision based on the placement records of any institute. It should come last on the criteria list. It is a known fact that no college can guarantee you placement. Your decision should be based on your ultimate aim. If coding is your thing, go for IT, ECE, CS, or if you feel that you might someday work at PSUs, go for the core branch. 

Comparative Analysis

• Once you decide on a college and realize that core is your thing, you can study ESE and prepare for GATE at BIT Sindri. 
• It would be wrong to state that it doesn't provide an authentic code environment. But it doesn't match the level of IIIT Bhubaneswar. 
• I have friends who study CS and IT there. They have told me that labs are not good and the college is devoid of a wifi connection too.
• Talk about IIIT Bhubaneswar or BIT Sindri, both the institutes fall under the State Government. 
• Plus, getting into IIIT Bhubaneswar can push you to witness national-level competition as you'd be required to crack the JEE Mains to get into it. 
• The quality of the faculty has become better, hostels are providing better facilities and the old buildings have been renovated into new hostels. 

The following table shows the placement statistics of both institutions:

You should choose the college that provides more and better opportunities so that it becomes easy for you ahead. BIT Sindri has improved its placement opportunities over the years, however, if you want an IIT tag, then choose IIIT Bhubaneswar.