We suggest you wait for the new Skoda Kushaq, which will be launched next month. It has more features and is great on the highway and twisty roads. 
Your budget may limit you to the 1.0 TSI engine, but that’s a really punchy engine mated to a smooth 6-speed automatic box. The Honda Elevate works well as a city car, but it's nowhere near as good as a Kushaq or even a Skoda Slavia on a twisty road. 
 

Since you've already owned a Honda car, you might like what the Elevate has to offer. Its ride comfort is its highlight; the high seating will make it easy for your parents to get in and out, and its petrol engine delivers strong performance. 

The Volkswagen Taigun is smaller in size, which makes it a bit easier to park and manoeuvre. However, it doesn't feel as user-friendly as the Honda, since the manual's clutch is a touch heavier, and the automatic isn't as seamless as the Elevate's either. 

Since you're not keen on the Maruti Victoris or Kia Syros, you can also consider the Toyota Urban Cruiser Hyryder.

Both cars you selected have 1.5 naturally aspirated (NA) engines, and the Honda car engine mated to a CVT is clearly the better option for several reasons. 

Firstly, Honda makes the best small-capacity naturally aspirated engines, and for Mumbai traffic, the CVT is a much smoother automatic than the twin-clutch DCA in the Tata. 

Also, the Tata engine, which develops a mere 106hp, is nowhere near as powerful as the Honda engine (121hp). Hence, Honda Elevate is better than the Tata Sierra DCA, which comes with this 1.5 NA engine.

Yes, NVH levels in the Honda Elevate are quite high, and thus, if it's only the ghats and long drives that you are considering, the Honda City will do just fine. 

Moreover, the City will be more fuel efficient than the Elevate, even more so if you get the hybrid version, thus you will save on fuel bills during your long-distance travels. The only downside of the City is that its ground clearance is low, which can be a problem on bad roads. 

However, if you are not going to go off-roading and the roads in your area are generally in good condition, this should not be a deal-breaker.

Honda Elevate gets a 1.5-litre naturally aspirated petrol engine, which churns out 121hp power and 145Nm torque, which is sufficient power for your everyday use. 

Naturally aspirated engines deliver power in a smooth, linear manner and lack the sudden surge experienced in turbocharged units, and that is often mistaken for a lack of performance when compared to turbos. Power won’t be an issue; the real drawback is at the rear, where the central passenger has to contend with a prominent floor hump and a protruding AC vent, both of which eat into legroom and make long journeys uncomfortable. If travelling with 5 is your priority, we recommend you go with the Hyundai Creta. 

Both the Honda Elevate and the Citroen Aircross have a very good ride quality and are powered by responsive engines. 

For your requirements, you would not go wrong with either. However, to quantify between the two, we would rate the Aircross better in terms of ride quality, engine performance and refinement. Thus, we would recommend you pick the Citroen since driving pleasure and ride quality are very important to you. 

However, make sure there is a dealer in your area and in the areas you plan to drive to, as the Citroen network is very sparse at the moment.   

Since you are used to the convenience and practicality of the Honda Jazz, the natural upgrade would be within the Honda family. 

The Honda Elevate will be a good option to look at. It gets a practical cabin, a smooth 4-cylinder petrol engine and a CVT gearbox that is seamless, especially in the city. The SUV form factor also means good ground clearance, and it also gets a sunroof.