"What hybrid bike tires do you use?"
On my "road bike hybrid", Rivendell Rolly Poly 700x27.
On my "touring bike hybrid", Continental Gatorskin 700x28.
On my "mountain bike hybrid", Schwalbe Marathon 26x1.5.
"(or want)"
I have a pair of Schwalbe Durano 700x28 that will replace the Continentals when they wear out.
"and why?"
Continentals based of brand reputation and availability from favorite vendors.
Rivendells, kind of an impulse purchase. I needed tires and wheels. These tires were offered for sale by the vendor from whom I ordered the wheels.
Schwalbes based on strong recommendations here on BikeForums for tires from this brand. The Schwalbe Marathons I have are not among those recommended, but they are less expensive.
Strong preference for sizes 700x28 and 26x1.5. Not too narrow, not too fat.