There are a lot of songs out there that could potentially impress a girl, but it really depends on her taste in music. If she is into pop music, then a song like Justin Bieber's "Sorry" might do the trick. If she is into country music, then something like Zac Brown Band's "Chicken Fried" could be a good choice. Ultimately, it is important to choose a song that you think she will appreciate and that will make her feel special.