The last time Avast reported false positives was a few years ago.
I'm going to restore my system to about 2 years ago to see if Avast still detects it too. I powered up my laptop (which I haven't used for months) and updated Avast's antivirus definitions and ran a Full system scan on there. I use Macrium Reflect to back up my system so I restored a full image from about 2 weeks ago (errors only started today), and Avast is complaining about files being infected from this restore too. I ran online scans from ESET, Trend Micro, Kaspersky, and F-Secure and they all came back negative. The irony is Avast's 'Smart scan' detects nothing, but the 'Full system scan' does. I ran a 'Full system scan' and I'm at 1,000+ hits and counting, and my drives are only about 24% scan completed). I'm getting all sorts of hits on my computer and VM today with Avast warning me about a generic 'VBS:Malware-gen' when I open Google Chrome.