I think, the second car that many dream off would be a SUV with the hulk look and strong road presence.
In addition to dreaming a SUV, people want higher mileage like their current cars (hatch backs or sedans). They also want the comfort of being able to park in their parking lots and ease to drive.
However, most of SUVs are expensive (nearly 17+ on-road-price) and also small families may not need such huge SUV (parking space issues, mileage, maintenance issues, etc).
This is where the compact SUVs or cross-overs are coming into picture. They provide better fuel efficiency, have the hulk look and cost lot less than SUVs like Storme and Fortuner. In addition, I feel the styling of these mini-SUVs is totally attractive to make people turn heads.
In fact, the concept of "mini-"XYZ appears to be coming up across industries. We have Samsung Galaxy G4 and a Galaxy G4 mini; a HTC One and a HTC One mini and so forth. If parents have Galaxy G4, the kids can have the G4 mini ;)
Although, we cannot call these mini- version as SUVs, manufacturers are satisfying the wishes of tons of people by bringing in such models.