While Ubuntu Wine Team PPA does no longer update since Wine 1.8.0 release, there lacks a PPA for those sticking to Wine 1.8.x stable series.
So far, its Wine 1.8.5 and you can follow the steps below to install it in the current two Ubuntu LTS releases:
1. Remove old Wine packages if installed via command (press Ctrl+Alt+T to open terminal):
sudo apt remove wine* && sudo apt autoremove
2. Add the new Wine PPA via command:
sudo add-apt-repository ppa:jonathonf/wine && sudo apt update
3. Finally install
wine-stable package to get the latest Wine 1.8 packages from the PPA:
sudo apt install wine-stable
That’s it. To remove the Wine packages, simply run the step 1 and remove PPA via Software & Updates -> Other Software tab.