I just got a brand new laptop, a Sony VAIO Fit Series SVF15217CXP 15.5-Inch Core i5, running Windows 8.
The thing really struggles with staying connected to the Internet. I usually have to disconnect/connect initially when I turn the thing on, and then do the same several times while I am browsing. I reset my router, of course, and per a friend's advice I turned off the wifi power adapter sleep settings.
I noticed it in particular when I am signed in to this educational website I have to use for school called MindTap.
I also have an Asus netbook that is 3+ years old running Windows 7 and stays connected like a champ. The only time I have any trouble browsing on that machine is if I am downloading something. Then once the download is finished, browsing goes back to normal.