Go for the Tata Safari turbo-petrol. It is far more suited as a seven-seater than the Mahindra XUV 7XO, due to a more spacious third row. Also, the Sierra's touchscreen and user interface are far simpler than the Mahindra's, which can feel a bit overwhelming, at least initially.

While we haven't extensively tested the Safari turbo-petrol, expect single-digit fuel efficiency in urban conditions. It is expected of such a large SUV. If running costs matter, then you could consider the diesel version instead. 

Relatively smaller and easier to drive 7-seater options are the Hyundai Alcazar and Kia Carens Clavis, which come with turbo-petrol and diesel automatic options.

Of these two, we'd recommend you choose the Hyundai Venue HX5. The Tata Nexon has the slight edge on driving enjoyment with its punchier engine, sharper steering and better-tuned suspension, but in most other areas, the Venue excels. 

The HX5 variant is decently well equipped, and the Venue diesel in general is smoother, more refined, better built and of higher interior quality. Plus, Hyundai's aftersales and service are known to offer a better experience than Tata's.

The Hyundai Alcazar is a decent option for a 6/7-seater SUV with a comfortable ride quality. However, its third row of seats is not the most spacious or comfortable for adults. 

If you're fine with going for an MPV, take a look at the Toyota Innova Hycross strong hybrid. It's got a refined petrol-strong hybrid CVT powertrain that has a claimed fuel efficiency of 23.34kpl. 

Moreover, its cabin is far more spacious and comfortable than the Alcazar, and it has a comfortable ride on the highways too. Toyota Innova Hycross strong hybrid prices range from Rs 26.30 lakh to Rs 32.38 lakh (ex-showroom, India). 

Both the Kia Seltos and Hyundai Creta are mechanically identical, so you can pick either one without any hesitation. That being said, Kia recently launched the new-gen Seltos, which has a more spacious cabin, more features and a comfier rear seat than the Creta. 

Both SUVs are powered by the punchy 160hp, 1.5-litre turbo-petrol engine that's paired with a 7-speed dual-clutch automatic gearbox. 

Alternatively, if you love driving, the Volkswagen Taigun and Skoda Kushaq might be worth considering. Both these SUVs come with a 150hp, 1.5-litre turbo-petrol with a 7-speed DCT gearbox and offer better handling than the Kia and Hyundai cars.  

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. 

In case you'd like to replace the Honda Amaze with a sedan, you could consider the new Maruti Dzire. It feels much larger and more spacious than its size suggests. It has a smooth and efficient petrol engine, and ride comfort is one of its highlights. If you're open to the hatchback body style, you could consider the Hyundai i20, which feels upmarket and sophisticated. 

Both these cars are equipped with safety kits like 6 airbags, ESP, ABS with EBD, among others, and the Dzire has also received a 5-star rating in Bharat NCAP crash tests.