Canned carrots might not be your forte but that doesn't mean you should discredit them. Frozen and canned vegetables can be more nutritious than fresh ones, according to the American Institute for Cancer Research. They're often picked and processed at their peak of ripeness, using techniques that lock in a slew of nutrients. Just make sure not to destroy their nutritional value by overcooking them. However, if you're watching your sodium intake, either choose frozen or buy reduced-sodium canned veggies.