You want to use songs by singers that have wide ranges- for example, Kelly Clarkson, Sara Bareilles, or Carrie Underwood (my personal favorites to warm up with), but it could be just about any singer with a wide vocal range. It's best to sing more than one song to fully warm up, because singing scales doesn't always exercise your voice to its fullest potential.
I use Kelly Clarkson's "Behind These Hazel Eyes," (for your lower range at the beginning, upper at the end) Sara Bareilles's "Love Song," (for your lowest range) and Carrie Underwood's "Temporary Home" (good for practicing restraint and control) if I don't intend to be singing for very long- this way, my voice is fully capable of quickly hitting any notes I plan to sing.
Kelly Clarkson's "Because of You" and Sara Bareilles's "Bluebird" are my picks for vocal warm up if I plan to sing for more than 45 minutes with only minimal rest for my voice, because I don't want to wear out my sound before I've even finished warming up. "Because of You" is a great all-around warm up song, because it goes from low enough to be almost spoken to fairly high. "Bluebird" is another good all-around song to use in this case, although it focuses mostly on the upper ranges of your voice (which is good for me, as my primary range is a soprano).
Some other time-sensitive combinations I've found useful:
--"Don't Forget to Remember Me," Carrie Underwood (works from a female tenor to a high alto/low soprano) and "Ordinary Miracle," Sarah MacLachlan (works best for high altos and sopranos)
--"The Only Exception," Paramore (works best for breathing control and practicing improvised riffs) and "Since You Been Gone," Kelly Clarkson (to get the most out of this, sing the descant at the chorus refrain at the end of the song)
Best of luck- no matter what you choose, make sure it's what works best for YOUR voice! :) Hope this is helpful.