"Дайте, будь ласка, сорочку."

Translation: Give me a shirt, please.

[heathmar]

Would сорочка be your standard buttoned shirt?

[skstudio]

Yes, nowadays, it is a standard buttoned shirt.

[viktorukrop]

Wouldn't a button up shirt be "Рубаха"?

[Mikola-man]

Well, it can be "рубаха" but pretty rarely. Actually, "сорочка" is the only right variant for shirt or buttoned shirt. In Ukrainian.