For some reason, I love to feed small children! I guess because they will try anything and are adventurous if you allow them to be.
When my DD's were this age they ate a variety of things. I tried to stay away from overly processed foods since I didn't want their diet to be reliant on nuggets and hot dogs (although they loved and still love both of those!).
Some of my daughters favorites have been noodles of all shapes and sizes and with a variety of sauces, scrambled eggs, lunch meat, cheese, dips (both of my girls love ranch, salsa, guacamole and hummus) with a variety of veggies and pita bread, avocados, all fruits (bananas, strawberries, raspberries, blackberries, watermelon, honey dew, cantaloupe, grapes, cherries, peaches, kiwi) some veggies (green beans, peas, corn, asparagus, broccoli). Just make sure that everything is appropriately cut up for a 16 month old so that it isn't a choking hazard and that they don't have any food allergies. If you are unsure about whether they have tried a certain food introduce a new food and wait several days before trying another new food (that way you will know which food there is an allergy to if they have a reaction).
At this age kids don't know that they aren't "supposed" to not like certain foods (like veggies) and once you get them to like them they will always eat them. My girls are pretty adventurous eaters at the ages of 2 and 4. But like I said before I didn't just feed them "kid" foods, they ate what we ate for the most part and it has worked out pretty well for us! Good luck!