I'd recomend The White Stripes as well.
I love the whole Rock&Roll going back to it's roots concept... the guitar sound and the hooks are so much like the early Kinks ("You really got me going", "All day and all of the night") or the Animals.
The lyrics by Jack White are nothing special, but still stand out from today's mediocre scene (especialy in some songs).
Be warned though - if you don't like the 60s rock then you'll despise this band. The albums are deliberately made to sound unpolished in production, to get that aditional retro feel (constant noise of the apms in the background, screaking...)
Try it out. Tatu said they want to be more Rock N Roll on their next album as well, so it might be a good preparing phase till you wait.