The new bike I have sounds like what you are looking for. It is a Casati City bike with racing tires. You can put knobby tires on it if going off pavement.
It is only 21.7 lbs. Climbs like a dream! It is a hand-made Italian bike. Started out with the frame and fork, then customized it. There was no getting used to it. The first time I took it out I could not believe it, it was like the bike was a part of me! It was fairly expensive, but it is a lifetime investment, this bike will last me forever.