Songs for a young rock/indie band to cover..?

I am in a rock/indie band at school and i was just wondering if anybody could give me any song ideas we could use to cover. The previous bands we have covered is arctic monkeys, mgmt, the kooks, foo fighters and bloc party. I would like some ideas for a slow song, for example we covered naive by the kooks but put halo by beyonce as the chorus which made a lovely slow acoustic song. I am a female singer by the way.