Freebird Games' Kan Gao's sophomore effort A Bird Story does not possess the same kind of thematically sentimental aspects within its story to rip your heart out as his To the Moon, but it is a pleasant little one hour excursion. Your enjoyment of this game will ultimately depend upon your heart for animals, particularly birds.
I am an animal lover myself; at home, we have several cats, and I personally own a pet ball python named Ethlina (the name is a long story). I care very much for our animals, but my love for them is not even close to the care I have for my family and friends. Whereas To the Moon beautifully explores the more meaningful relationship dynamics between complex individuals a la inspiration from Eternal Sunshine of the Spotless Mind, A Bird Story touches upon themes of loneliness and individuation through the human-animal bond; and it is a nice little interactive short-story to be sure.
One of its most impressive qualities of its storytelling is how it shifts the plot's timeline from past to future by quickly changing the landscape and scenery. When moving your character from one location to the next, the main character's living room furniture may suddenly appear in the forest, and when you interact with it, your character suddenly finds himself back home and in his living room.
In a way, the warping of location is a story-telling technique that saves the player precious time from traveling between places, and it keeps the plot at a quick rhythm. A Bird Story forgoes the usage of narration and dialog to tell its story, but music plays an important role in this regard. The soundtrack is spectacular, harnessing the mood of the situation and gracefully echoing it back through your speakers with rainy pianos and contemplative classical arrangements.
For a one hour "game," A Bird Story is definitely worth a look based on its aesthetic identity alone. Like To the Moon, there is little gameplay and not even dialog or a suspenseful, mysterious plot. So to answer the question, "Does A Bird Story top To the Moon?" I say "definitely not!" That does not mean, however, that A Bird Story is not a dainty little experience.