If you are open to buying an electric vehicle, the Tata Tiago EV is a good option for city use. It's got a smooth powertrain and is much more practical than the MG Comet you also considered. There's also the option of the Tata Punch EV, though it is slightly out of your budget.
Among petrol automatic cars within your budget, the Hyundai i20 iVT and Citroen C3 AT have the smoothest automatic gearboxes. The Maruti Suzuki Swift AMT is also a good city car, though the AMT gearbox isn't as nice.

