I use the Sunday (or Thurs. or Sat., depending on your local custom) classified RE ads like we used to many decades ago use the Sears catalog--as a Wish Book. Decor ideas presale, listings of Open Houses. In California, RE is our second favorite activity.
For real searches, I use MLS, Trulia, Craig's List, Oodle, and specialty RE agents' sites. I also use LoopNet, and auction sites. Most print edition newspapers also have an online edition, which I prefer, if I am researching.
The one print edition exception is the Wall Street Journal for vacation and high-end properties.