What works
Install
Run (with workaround, see below)
Friends List / Chat
Game Library
Store
Notifications
Downloading games (mostly)
What does not
Text looks a little fuzzy
Systray Icon (shows up but nothing happens when clicked).
Games download very slowly
What was not tested
Nothing I can think of.
Additional Comments
Installed to fresh Wine prefix. No problems, and launched immediately after install. After closing first time, when I tried to reopen it, nothing happened, and the log showed an error "can't find qtsvg4.dll". Installed Qt from [1] and launched again, this time successfully.
Upon starting a download, it will appear to hang on "Preparing Download" for a few minutes. If left alone, the confirmation box eventually pops up. Tried downloading Plants vs Zombies to test. Glad I chose that one, because average speed is 2-3 KB/sec.
I think Origin should be rated higher than it has been previously. Yes, the purpose is to be able to run games, but I don't think that should affect the rating of Origin itself. The only problems I see are the Qt dll, and the download-related problems.
[1] http://download.qt-project.org/official_releases/qt/5.1/5.1.1/qt-windows-opensource-5.1.1-mingw48_opengl-x86-offline.exe
seen on this page http://appdb.winehq.org/objectManager.php?sClass=version&iId=26175