Life on other planets
We might imagine living things that are very different from what we know. There is no conceptual reason for limiting life in its relation to water for example. Moreover, the definition of what is alive is really unclear. We classified more or less arbitrarily objects we know on earth as being living or not living but this does not give any clear definition of what is life and therefore it would not allow an exobiologist to even know what he's looking for!

But if you had to seek in billion of planets/natural satellite a living creature somewhere where what planets would start looking at? Probably those that look alike yours because you already know that life is possible the kind of conditions these planets offer. I think the answer is as easy as that.