Should I be worried about my 12 month olds diet?

My 1 year old eats on a schedule (breakfast within 20 minutes of waking up, lunch between 11 and 12, snack at 3, and dinner at 6) but for lunch and dinner I'm worried about what he's eating. For breakfast he has oatmeal, pancakes, yogurt, or toast, and some milk. Snack time he has some animal crackers, or some regular crackers, maybe some raisin bread, and some milk. But for lunch and dinner he just doesn't want to eat a normal meal. He'll eat green beans, bananas, watermelon, grapes, hot dogs, he had his first pb&j the other day and liked it. But he won't eat like ANYTHING else. If we go out to a restaurant he'll eat mashed potatoes and gravy but thats about it. We've tried giving him organic chicken nuggets, grilled chicken, fish sticks, small amounts of tuna, just ANYTHING that is normal and he just won't eat it. I feel like we're stuck feeding him toast, yogurt, bananas, etc. and basically just the same stuff ALL the time. Should I be worried about this or will he grow out of it? He at least TRIES everything we put in front of him, it's just whether or not he wants to keep eating it or not.