Many breeds could work. We need more info. Is there a size or weight restriction for dogs in your apartment? Breed restrictions? Some places allow all dogs, others dogs under a certain weight limit. And some restrict certain breeds (and not just the ones you might think- my old apartment banned Siberian Huskies and a few other breeds not normally listed on breed bans)
Are there allergies that could be an issue? How much grooming is acceptable? No grooming? Brushing once or twice a week? Professional grooming required?
How much exercise can you give the dog? A few walks around the block? A few hours of intense activity?
Do you have a size preference? Some large dogs are excellent for apartment living (Greyhounds, for instance, tend to do really well in apartments), but only you know if you feel you could fit a large dog in your apartment and still have room to move around. Or maybe you prefer medium size dogs, or little but not TOO little.
Have you trained a dog before? Some breeds do better with experienced owners.
What will your dog do all day? Some breeds need constant stimulation. Others are happy to nap most of the day.
What sort of energy level would you like? This is not always related to exercise- some small dogs don't necessarily require a lot of exercise outside the home, but are very high energy. Other dogs do best best with a lot of exercise, but can be sedate inside the home.
How trainable do you want the dog to be? Extremely intelligent breeds can be a challenge to live with because they make up their own fun (which may be destructive!) if they aren't being challenged. On the other hand, some breeds are notoriously hard to train- will you be ok if it takes a year or two to housebreak your pup?
Finally, what do you want to do with the dog? Do you want a dog you can trust off leash? Some breeds are more suited to that than others. Do you want to take it hiking in heavy brush? Some small breeds or dog with long coats may not be good choices. Will your dog be expected to exert itself frequently, or be exposed to high or low temperatures? Some breeds structurally cannot handle certain conditions.
Knowing some more about your requirements would make it easier to recommend a good breed.
