From Babylon 5, the Minbari. Proud, caste-separated, high-tech and yet oh so very religious. They exemplified the best and worst of any species, depending upon the individual and the situation he found himself in. And their philosophy of life: "We believe that the Universe itself is conscious in a way we can never truly understand. It is engaged in a search for meaning, so it breaks itself apart, investing its own consciousness in every form of life. We are the Universe, trying to explain itself." How can you not love that?
Alan Dean Foster's Thranx (Humanx Commonwealth books): A peaceful, philosophic race of bug-eyed monsters, who can function as an extremely logical and mathematically precise battle-computer under the influence of certain chemicals. The perfect counterpart to form a large galactic government with a bunch of smelly, squishy primates. (Seriously, if you haven't read "Nor Crystal Tears", do yourself a favor and do so. Probably the best first-contact novel ever.
That's probably my top two, although the Ulru-Ujurrians (also from the Humanx Commonwealth) are up there too. But then space-time bending teddy-bears of doom are probably a bit beyond the pale for most people.