The only emoji that comes close to a crow is probably the black bird ⬛ (edit: hn does not seem to render this?). Unfortunately, it's a joined letter and therefore can't be parsed/typed that easily.

Other than that the combinators that I would have liked to match are vireo, warbler, thrush, lark, jay, hummingbird, (gold-)finch and becard - all of these don't have emojis.