Thelma, two of mine do the same thing, but especially Big. We call it "going belly up" and everyday when I come in from work, there's Big in front of the door, already "belly up". Cookie does it to, but she doesn't greet me with her belly as often as Big. Pepper will only go belly up once I have already started lovin on her. Peaches tolerates it but doesn't ask for it. I think the kids love it so much becuase from the day they were born we began picking them up and rubbing their fat little kitten bellies, so they now see it as the ultimate form of lovins. Peaches, being a former stray, probably never experienced the pleasure until she moved in with us, and even then what with her pregnancy, nursing, and spaying it was several months before we could even rub her belly!

I've heard the squinting of the eyes (lovey eyes as we call it) is also a sign of complete trust, because a cat who does not feel completely free of danger will always have its eyes wide open unless sleeping.