It seems python3-lhafile was missing in my PPAs for Ubuntu 16.10. I’ve submitted the build requests now, and the packages should appear in the repos within a few hours.
Due to several reasons, official support for Debian 7.0 is dropped. The reasons include no official PyQt5 packages, and an old Python 3 version. New versions of FS-UAE will continue to be supported on Debian 8.0.
If you are still on Debian 7.0, you might be able to use the SteamOS version of FS-UAE instead, or you can compile FS-UAE and dependencies from scratch, if able to (you may have to patch FS-UAE Launcher a bit to run on Python 3.2).
Packages for Ubuntu 15.10 should be available in a few hours. Support for Ubuntu 14.10 is removed.
I have added official builds for Fedora 22 and Debian 8.0. The download page has been updated accordingly 🙂 The packages are scheduled to be built by openSUSE build service, and it may take a few hours before they are available in the repositories.
Packages for Ubuntu Vivid (the upcoming Ubuntu 15.04) should appear in the stable and devel PPAs shortly.