The ones based on his name: Ben, Benjababy, Benjababyman, Benjamanius, deBenjamanius, Binyamin.
The ones based on animals of varying cuteness: Bunny, Bunny-Pie, Bunny-Bear, Baby-Bear, Monkey, Monkey-Baby, Baby-Monkey, Monkey-Dunk, Monkelly-Dunk, Monkey-Pie, Cheeky-Monkey, Kitten, Chicken, Fresh-Young-Chicken.
The ones based on his physical attributes: Cheeks, Cheeky, Cheeky-Cheeky, Baby-Butt.
The ones based on his age/status: Kid, Kiddo, Baby, Baby-Child, Baby-Face, Boy, Baby-Faced-Boy, The-Boy
The ones based on foods of varying deliciousness: Pumpkin, Pumpkin-Pie, Muffin, Pumpkin-Muffin, Dumpling, Apple-Dumpling, Honey, Honey-Bunch, Honey-Pie
The ones based on usual endearments: Sweetheart, Sweetie-Pie, Love, Little-Love
The one from before he was born (ret.): Spike
The one based on his father's inability to distinguish him from one of the dogs: Person-Hugo (as opposed to the dog, who has acquired "Dog-Ben")
When I write them all out, we sound like crazy people. In Andy's defense, at least 90% of these are mine exclusively.