I just bought a really good cookbook called Finger Food by Jennie Maizels (spelling?) written by a mum who had just that problem with her daughter. I've only made 4 dishes, but ds liked them all as did dh who ate the extra fishcakes that I made for the freezer .
mmmmfishcakes sound good bran. Ive made chicken cakes with potato and chopped chicken diped in breadcrumbs and either fried or baked. I make really small ones so easy for dd to handle. Also small pieces of chicken on its own. Homemade Burgers? cubes of cheese? I also make a very dry bubble and squeak that dd can pick up in her hands. Sure lots of peope will come along later and give you loads more recipies too.
I have to admit the fishcakes were very yum, I made them with tuna and they also had potato, parsley and Dijon mustard in them. I might make some more at the weekend and make some adult sized ones too.