Since the op placed no specific qualifications on a very broad topic and the responses have mostly been weighted toward image quality, it might be worth mentioning the simple, practical physical issues of a camera. If the camera is meant for travel, well, do you have the space and weight capacity to carry a heavier, more complex camera which might have several interchangeable lenses involved in its operation? Does everything fit in an overhead compartment? Are you willing to pay for extra baggage and do you trust the carrier to get your equipment delivered safely? Do you prefer looking as though you are carrying all your earthly possessions around with you on a daily basis? Can you simply fit all that gear into the bus seat, the lift car or onto the back of that camel? I drive a Fiat 500 and for me this latest purchase said no to carrying around big bags of stuff everyday.
Carrying a heavier DSLR (or even more sophisticated) rig with all its associated accessories will be both tiring, at times awkward and especially conspicuous if you are needing portability, accessibility and some degree of candid operation. For instance, do you trust the situation enough to show the world you own rather pricey equipment which could easily be lifted at an outdoor restaurant or on a side street?
If you are shooting fast action, then you probably want a relatively fast lens system yet the large super zoom lenses (like those seen on sports photographers sitting on the sidelines) with higher speed and high quality glass can be quite large and quite expensive. Yet, if you intend to do primarily low light level shots, you will need to ascertain how to accomplish that without all the gear required to properly do the task. Now you may be discussing which is more important, the camera, the lens or the required accessories?
Certainly, establishing your priorities is where I think most people should begin when they intend to make a purchase.