Unfortunately, there aren't many cars that would meet all those requirements under Rs 13 lakh. You could increase your budget and get a more premium offering, or be prepared to sacrifice a few things and stick with your budget. 

Within your budget, your two best bets are the Nissan Magnite and Renault Kiger, which both offer exceptional value for money. They come with 1.0-litre turbo petrol engines and smooth CVT auto gearboxes, and if driven carefully, can deliver good fuel economy. Their touchscreens are decent but not great, and it's a similar story with their audio systems; neither gets a sunroof. 

The Hyundai Exter and Tata Punch facelifts are more affordable but not spacious enough for five, and get clunky AMT auto gearboxes. 

Yes, with the Tata Punch Facelift, which is launching on January 13, the sub-compact SUV will finally get a stronger turbo petrol engine option, which has been lacking in the car so far. 

As in the Tata Nexon, this will be mated to a 6-speed manual gearbox, which means the two cars will have identical powertrains. However, it is likely that, for the same price, you will get a lower-spec Nexon, compared to the Punch. 

So, it comes down to your budget and your preference - if you like more features and don't mind a smaller vehicle, you should get the Punch. However, the Nexon is far more spacious - especially in the back seat and boot - and it's more comfortable too. So, if you value that and don't mind skipping a few features, it would be a worthy upgrade to your Tiago diesel.