According to the current American Academy of Pediatrics guidance, the only things you want to avoid are known family food allergens and choking hazards.
At that age, we were beginning to give cooked frozen vegetables (mixed minus the green beans). You can do cups of mandarin oranges, pears, etc. You should try to get ones packed in their own juices to be healthier, if possible. We let our kids, at that age, gnaw on things like string cheese (we were always there to monitor). We also started giving things like real White American cheese (deli vs. prepackaged), very thinly shaven ham/turkey, pieces of banana, blueberries, strawberries, Cheerios, etc.
We never got into the Gerber finger goods other than puffs - just not something our kids liked.
Currently, the belief on things like strawberries, peanuts, etc. is that delaying their introduction actually fosters allergies vs. preventing them. The rule of thumb, though is to introduce a new food, wait a few days to make sure there's not a reaction and to move to the next one.
Here's a sample menu for a similarly aged child from the American Academy of Pediatrics:
http://www.healthychildren.org/English/ages-stages/baby/f...