What you give him currently is great!
The only stipulations the American Academy of Pediatrics has in place are to avoid foods that are known family food allergens (if any) or those that may pose a choking hazard.
This time of year, my kids liked having as much fresh fruit as possible. Our kids are now 2 and 4, but at a year, they were eating strawberries, blackberries, bananas, blueberries, cantoloupe, pears, apples, etc.
Our kids also loved string cheese and American cheese slices from the deli (white American) as snacs, edamame, graham cracker sticks, animal crackers, applesauce, pretzel sticks, cereal, oyster crackers, Goldfish.
They both currently love Danimals yogurt smoothies or dipping pretzels into yogurt (better than it sounds).
In addition to fresh food options, I'd just keep an eye on the amount of sodium/sugar in the foods. At a year, they need the fat in their diets, but sodium/sugar can be an issue with a lot of canned and prepackaged foods.
Here's what the American Academy of Pediatrics recommends on their parenting site: