My daughter is an awful eater but I've gathered some tips and looked at some finger foods ideas online and in books at Indigo. How about medium firm cooked cubes of tofu, cheese, beans (I saw a mom giving her son baked beans in molasses and he loved them), chick peas, rice cakes with a bit of cream cheese or other spread or plain, french toast, pancakes (cut up of course), pita cut up into little chips and toasted lightly, pasta, japanese soba noodles (they're the fat ones), mini muffins, canned fruit drained, green or yellow beans cooked, asparagus, bites of bagel, freeze dried fruit snacks, any cracker with low salt, high quality deli meats since other meats are often hard for babies to chew or digest, organic vegetarian pate made with seeds and nuts (you can find them in certain stores and some kids love it apparently), melba toast pieces, Ryvita, rice crackers, etc., etc.,
I suggest doing some reading online and you'd be amazed at the endless possibilities. Obviously, it's hit and miss but worth a shot Also, my daughter refuses something one day and eats it another or eats something great one time and never again. They are so strange like that.
Some soft fruits and veg are hard for them to pick up and eat so I've heard of coating them in wheatgerm or crushed cheerios to give a bit of grip. I tried it and my daughter was disgusted but my sister in laws three kids eat them like that fine. Every child is different.