I personally love baby elephants, who are so playful and absolutely adorable with their eyes wide set, and small trunks, and they way they hold their mom's tails when walking in herds, or huddled in the center for protection. It takes 22 months for a baby elephant to reach gestation, so they are indeed precious.
Wow - that's a difficult one as all baby animals are adorable cuties. I've always loved kittens & puppies. For something different, baby sloths and llamas are extra cute. They look like they're smiling all the time.
They're all pretty cute - even the not-so-pretty ones. I have to admit, though, that I love the long-legged ones that try to stand up as soon as they're born (foals, giraffes, calves...). Seeing them wobble around is beyond adorable. You just want to rush in and help them up.