I have a lot of chicken recipes, of course; a whole chicken is just made for the rotisserie. On of our favorite recipes is "Rotisserie Chicken with Herbs and Buttermilk", from the Weber "New American Barbecue" book. If you search this site you'll probably find a recipe for Roadside Chicken, which I do with a whole chicken on the spit. Weber's "Big Book of Grilling" has a recipe for "Oktoberfest Chicken", which adapts easily to the rotisserie.
For me, the ONLY way to do Prime Rib is on the rotisserie. It's incredibly easy, too — just a little spice rub and let it spin until the desired doneness.
A pork loin or shoulder roast is another rotisserie staple. The New American Barbecue cookbook, again, has a great recipe: Lechon Asado pork roast.
I've also used the basket attachment for chicken pieces, with any basic BBQ rub. I even did a flank steak in it, and I'm sure you could do ribs that way.
One of the great ideas I got from several of the regulars here was to cook potatoes in the drip pan under the spinning meat. I always do that now! I've also cooked Brussels Sprouts and carrots that way.